To find out the difference between her highest score and lowest score, we can deduct the amount of highest score by lowest score.
Her highest score: 135
Her lowest score: 98
Her highest score is higher than the lowest score by:
135 - 98
=37
Therefore, her highest score is 38 more than her Lowest score.
Hope it helps!
A toy American Eskimo dog has a mean weight of 8 pounds with a standard deviation of 1 pound. Assuming the weights of toy Eskimo dogs are normally distributed, what range of weights would 95% of the dogs have?
a. 7-9 pounds
b. 6-10 pounds
c. 5-11 pounds
d. 4-12 pounds
Answer:
Option b) 6-10 lbs
Step-by-step explanation:
Given that X, the weight of toy American Eskimo dog has mean of 8 pounds with a standard deviation of 1 pound
For 95% of the dogs according to normal distribution would lie between 2 std deviations on either side of the mean.
i.e. lower bound= Mean- 2 std deviation = 8-2 =6
Upper bound = Mean +2 std dev = 8+2 =10
Hence range of weights would be
6-10 lbs
Option b is the answer
The range of weights for 95% of toy American Eskimo dogs, assuming a normal distribution with a mean of 8 pounds and a standard deviation of 1 pound, would be 6 to 10 pounds.
Explanation:To find the range of weights for which 95% of toy American Eskimo dogs fall under, given a mean weight of 8 pounds and a standard deviation of 1 pound, we use the properties of the normal distribution. The 95% interval is also known as the 95% confidence interval, and we can use the empirical rule or z-scores to calculate this. The empirical rule states that approximately 95% of data within a normal distribution lies within two standard deviations of the mean. Therefore, the range would be from 8 - (2 × 1) to 8 + (2 × 1), resulting in a weight range of 6 to 10 pounds.
Convert: 31 ft = _yd__ft
Answer:
10 yards and 1 feet
Answer:
10 yards + 1 ft
Step-by-step explanation:
Conversion :
3 feet = 1 yard
or
30 feet = 10 yards
notice that 31 ft = 30 ft + 1 ft
= 10 yards + 1 ft
If (2i/2+i)-(3i/3+i)=a+bi, then a=
A. 1/10
B. -10
C. 1/50
D. -1/10
Answer:
Option A is correct.
Step-by-step explanation:
We are given:
[tex]\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi[/tex]
We need to find the value of a.
The LCM of (2+i) and (3+i) is (2+i)(3+i)
[tex]=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}[/tex]
Now rationalize the denominator by multiplying by 5-5i/5-5i
[tex]=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}[/tex]
We are given
[tex]\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi[/tex]
Now after solving we have:
[tex]\frac{1}{10}-\frac{i}{10}=a+bi[/tex]
So value of a = 1/10 and value of b = -1/10
So, Option A is correct.
Final answer:
After simplifying the complex fractions and subtracting them, the real part a is found to be 0.1, which corresponds to option A, 1/10.
Explanation:
To solve the equation (2i/2+i)-(3i/3+i)=a+bi, we want to find the real part (a) and the imaginary part (b) after simplifying the given expression. We will need to perform complex number arithmetic by simplifying each fraction separately and then subtracting them. This process involves multiplying the numerator and the denominator by the conjugate of the denominator to make the denominator real.
First, let's simplify (2i/2+i):
(2i)/(2+i) = (2i)(2-i)/(2+i)(2-i) = (4i-2i²)/(4+2i-2i-i²) = (4i+2)/(4+1) = (2+4i)/5 = 0.4+0.8i.
Now, let's simplify (3i/3+i):
(3i)/(3+i) = (3i)(3-i)/(3+i)(3-i) = (9i-3i²)/(9+3i-3i-i²) = (9i+3)/(9+1) = (3+9i)/10 = 0.3+0.9i.
Next, subtract the two results:
(0.4+0.8i) - (0.3+0.9i) = 0.4 - 0.3 + (0.8i - 0.9i) = 0.1 - 0.1i.
So, a = 0.1 and b = -0.1. Comparing this with the given options, we can conclude that a = A. 1/10.
Which angle is an inscribed angle
1
2
3
4
Answer:
∠1
Step-by-step explanation:
we know that
An inscribed angle in a circle is formed by two chords that have a common end point on the circle
The measure of the inscribed angle is half of measure of the intercepted arc
In this problem
∠1 is an inscribed angle
∠2 is an outer angle
∠3 is an interior angle
∠4 is an semi-inscribed angle ( angle formed by a chord and a tangent)
Answer:
1. Tangent ray: a ray that lies on a tangent line and contains the point of tangency;
2. Intercepted arc: an angle intercepts an arc if the endpoints of the arc lie on the sides of the angle and all points of the arc except the endpoints lie in the interior of the angle;
3. Secant ray: a ray that lies on a secant line and contains both points of intersection with the circle; and
4. Inscribed angle: an angle with sides containing the endpoints of an arc and with a vertex that is a point of the arc other than an endpoint of the arc.
Which statement best describes f(x)= -2 sqrt (x-7)+1
Answer:
-6 is not in the domain of f(x) but is in the range of f(x)
Step-by-step explanation:
we have
[tex]f(x)=-2\sqrt{x-7}+1[/tex]
Find the domain of the function
we know that the radicand must be greater than or equal to zero
so
[tex]x-7\geq 0\\ \\x\geq 7[/tex]
The domain is all real numbers greater than or equal to 7
The range is the interval -----> (-∞,1]
[tex]y\leq1[/tex]
All real numbers less than or equal to 1
see the attached figure to better understand the problem
therefore
The statement that best describes the function f(x) is
-6 is not in the domain of f(x) but is in the range of f(x)
Answer:
B is the right choice. -6 is not the domain of f(x) but is in the range of f(x)
What is the simplified form of n^-6p^3
Answer:
p^3
--------
n^6
Answer: correct option is C
Step-by-step explanation:
Took test
One printing press can print the whole school newspaper in 12 hours, while another press can print in 18 hours. How long will the job take if both presses work simultaneously?
Answer:
7 Hours 12 Minutes
Step-by-step explanation:
So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.
Final answer:
When the two printing presses work together, they complete the job in 7.2 hours by adding their rates of work.
Explanation:
To solve how long it will take for two printing presses to complete a job when working simultaneously, one needs to add their individual rates of work. The first press can print the newspaper in 12 hours, and the second press can print it in 18 hours. Their rates are 1/12 and 1/18 newspapers per hour, respectively.
To find out how many newspapers per hour they can produce together, we simply add their individual rates:
1/12 newspaper per hour (first press) + 1/18 newspaper per hour (second press) = (1/12 + 1/18) newspapers per hour
Finding a common denominator, which is 36, we get:
(3/36 + 2/36) newspapers per hour = 5/36 newspapers per hour
Now, to find how long it takes for the combined presses to print one newspaper, take the reciprocal of the combined rate:
1 / (5/36) = 36/5 hours
Therefore, if both presses work together, they will complete the job in 7.2 hours.
Write the expression in standard form
[tex]\frac{7}{3-15i}[/tex]
Answer:
7/78 - 35/78i
Step-by-step explanation:
A complex number is a real number, an imaginary number or a number with both real and imaginary number. Its standard form is:
a + bi
For the expression, 7/ 3-15i
(7/ 3-15i) (3+15i)
21 - 105i / (234)
7/78 - 35/78i
20% of what number is 80?
Answer: The answer is: " 400 " .
____________________________________________
→ 20% of 400 is 80 .
____________________________________________
Step-by-step explanation:
____________________________________________
20% of "x" = 80 ; Solve for " x " ;
20% = 20/100 ;
= 20 ÷ 100 ;
= 20. ÷ 100 ;
= 0.20 ;
____________________________________________
Note that when dividing by 100 , we move the decimal
point backward (when "dividing") — 2 (two) spaces —
since "100" has 2 (two) "zeros" .
____________________________________________
→ 0.20 = 0.2 ;
____________________________________________
→ (0.2) x = 80 ; Solve for "x" ;
In this case, multiply each side of the equation by "10" ; to get rid of the "decimal value" ; as follows:
→ (10) * (0.2) x = 80 * 10) ;
to get:
→ 2x = 800 ;
Now, divide Each Side of the equation by "2" ;
to isolate "x" on one side of the equation ;
& to solve for "x" ; as follows:
→ 2x / 2 = 800 / 2 ;
→ x = 400 .
____________________________________________
The answer is: " 400 " .
____________________________________________
→ 20% of 400 is 80 .
__________________________________________________
Hope this is helpful to you!
Best wishes in your academic pursuits
— and within the "Brainly" community!
____________________________________________
Answer:
400
Step-by-step explanation:
20% of 400 is 80.
20% × x = 80
Multiply both sides by 100 and divide both sides by 20,.
x = 80 × 100/20
x = 400
what is which the relationship between the volume of a cone and the volume of a cylinder? explain
Answer:
The base of the cone is a circle of radius r. The height of the cone is the length h of the straight line from the cone's tip to the center of its circular base. Both ends of a cylinder are circles, each of radius r. ... For example, the volume of a cube is the area of one side times its height.
Step-by-step explanation:
Hope this helps! Please mark brainliest!
Answer:
The volume of a cone is one-third the volume of a cylinder.
Step-by-step explanation:
Which would be the "best" or quickest first step to solve the system using substitution?
x – 2y = -2
- 3+y=2
Solve (rearrange) the 1st equation for X.
Solve (rearrange) the 1st equation for Y.
Solve (rearrange) the 2nd equation for X.
Solve (rearrange) the 2nd equation for y.
Answer:
4th option
Step-by-step explanation:
Solve and rearrange the second equation for y
y= 2 +3
y =5
The substitute y in first equation to get x
Given: Quadrilateral ABCD is inscribed in the circle.
Diagonals AC and BD meet at point E.
AD = CD
Prove: BE X AD = EC X AB
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABD and BEC. In these tirangles:
Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus
[tex]\dfrac{BD}{BC}=\dfrac{DA}{CE}=\dfrac{AB}{BE}\Rightarrow BE\cdot DA=AB\cdot CE[/tex]
Using the quadratic Formula to solve 2x^3=4x-7 what are the values of x
Answer:
[tex]x=1(+/-)0.5i\sqrt{10}[/tex]
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]2x^{2}=4x-7[/tex]
[tex]2x^{2}-4x+7=0[/tex]
so
[tex]a=2\\b=-4\\c=7[/tex]
substitute
[tex]x=\frac{4(+/-)\sqrt{(-4)^{2}-4(2)(7)}} {2(2)}[/tex]
[tex]x=\frac{4(+/-)\sqrt{-40}} {4}[/tex]
Remember that
[tex]i=\sqrt{-1}[/tex]
[tex]x=\frac{4(+/-)2i\sqrt{10}} {4}[/tex]
[tex]x=1(+/-)0.5i\sqrt{10}[/tex]
Someone please help me out ?
During their first home game, the Eagles soccer team drew a total of 176 fans. By the second game, this number grew to 202 fans. What was the percent increase in attendance between the first two home games of the season? Round your answer to the nearest tenth, if necessary.
The answer is 14.8% but I don't know how to show my work for it.
Answer:
Step-by-step explanation:
Initial # = 176 fans
Final # = 202 fans
Increase = 202 - 176 = 26 fans
% increase = 100% x (Increase / initial #)
= 100 x (26/176)
= 100 x 0.1477
= 14.78%
Which method correctly solves the equation using the distributive property?
-0.2(x-4)=-1.7
Distribute -0.2:
-0.2 * x = -0.2x
-0.2 * -4 = 0.8
-0.2x + 0.8 = -1.7
Subtract 0.8 from both sides:
0.8 - 0.8 = 0
-1.7 - .8 = -2.5
Divide -.2x from both sides:
-0.2x = -2.5
x = 12.5
Hence, the value of x is 12.5
Answer: C I think. My answers are all confusing so I apologize if I make u get it wrong.
Step-by-step explanation:
Find the value of z.
Answer:
z = [tex]\frac{50}{3}[/tex]
Step-by-step explanation:
The ratio of corresponding sides are equal, that is
[tex]\frac{z}{10}[/tex] = [tex]\frac{20}{12}[/tex] ( cross- multiply )
12z = 200 ( divide both sides by 12 )
z = [tex]\frac{200}{12}[/tex] = [tex]\frac{50}{3}[/tex]
Solve the following problems.
a. 2 ft 5 in + 9 in
b. 4 yd 8 in + 6 yd 6 in
c. 29 yd 2 ft 11 in + 55 yd 1 ft 10 in + 13 yd 1 ft 3 in
d. 4,839 sq yd 8 sq ft 139 sq in + 7 sq ft 124 sq in
Answer:
(a) 38 inches (b) 374 inches (c) 3564 inches (d) 6273767 square inches
Step-by-step explanation:
a) 2 ft 5 inches + 9 inches
Convert to inches
1 feet = 12 inches
2 feet = 12 x 2 inches = 24 inches
24 inches + 5 inches + 9 inches = 38 inches
b) 4 yards 8 inches + 6 yards 6 inches
Convert to inches
1 yard = 36 inches
4 yards = 36 x 4 = 144 inches
144 inches + 8 inches = 152 inches
6 yards = 36 x 6 = 216 inches
216 inches + 6 inches = 222 inches
152 inches + 222 inches = 374 inches
c) 29 yard 2 feet 11 inches + 55 yard 1 feet 10 inches + 13 yard 1 feet 3 inches
Convert to inches
29 yard 2 feet 11 inches
1 yard = 36 inches
29 yards = 36 x 29 = 1044 inches
1 feet = 12 inches
2 feet = 12 x 2 = 24 inches
1044 + 24 + 11 = 1079 inches
55 yard 1 feet 10 inches
1 yard = 36 inches
55 yards = 26 x 55 = 1980 inches
1 feet = 12 inches
1980 + 12 + 10 = 2002 inches
13 yard 1 feet 3 inches
1 yard = 36 inches
13 yards = 13 x 36 = 468 inches
1 feet = 12 inches
468 + 12 + 3 = 483 inches
1079 + 2002 + 483 = 3564 inches
d) 4,839 sq yard 8 sq feet 139 sq inches + 7 sq feet 124 sq inches
Convert to square inches
4,839 sq yard 8 sq feet 139 sq inches
1 square yard = 1296 square inches
4839 x 1296 = 6271344 square inches
1 square feet = 144 square inches
8 x 144 = 1152
6271344 + 1152 = 6272635 square inches
7 sq feet 124 sq inches
7 x 144 = 1008
1008 + 124 = 1132 square inches
1132 + 6272635 = 6273767 square inches
!!
what is the value of the ratio 18:21??
Answer:
18:21 is equivalent to 18/21. When you simplify 18/21, you get 6/7
Answer:
85.714285714286%
Step-by-step explanation:
i hope this helps, if you are looking for the percentage.
Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
A. y−5=6(x+7)
B. y+1=6(x−6)
C. y−6=6(x+1)
D. y+7=6(x+5)
Answer:
B. y + 1 = 6(x - 6)
Step-by-step explanation:
First, find the rate of change [slope], then insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are.
The table represents the multiplication of two binomials. What is the value of A?
The calculated value of the variable A from the table of values is -3x²
How to determine the value of the variable A
From the question, we have the following parameters that can be used in our computation:
The contingency table
The cell A is in the row -x and the column 3x
This means that
A = 3x * -x
When the product is evaluated, we have
A = -3x²
Hence, the value of the variable A is -3x²
What is the sum of the polynomials?
(8x2-9y2-4x)+(x2-3y2–7x)
7x2 - 6y2 + 3x
9x2 - by2+3x
9x2 - 12y2 + 3x
9x2 - 12/2 - 11x
Add the like terms:
8x2+x2=9x2
-9y2-3y2=-12y2
-4x-7x=-11x
Combine each term:
9x2-12y2-11x
Hope this helps!!
The sum of the polynomial will be,9x²-6y²-11x. Option B is correct.
What exactly is a polynomial?A polynomial is an algebraic statement made up of variables and coefficients. Variables are sometimes known as unknowns.
We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
⇒(8x²-9y²-4x)+(x²-3y²–7x)
⇒9x²-6y²-11x
The sum of the polynomial will be,9x²-6y²-11x.
Hence, option B is correct.
To learn more about polynomials, refer:
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Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution. 20 ≤ x + 15 ≤ 55 5 ≤ x ≤ 40; Walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40; Walter needs to make less than 5 more cookies or more than 40. 35 ≤ x ≤ 70; Walter needs to make at least 35 more cookies but no more than 70. 35 ≥ x ≥ 70; Walter needs to make less than 35 more cookies or more than 70.
Answer: First Option
Walter needs to make at least 5 more cookies but no more than 40
[tex]5 \leq x \leq 40[/tex]
Step-by-step explanation:
If we call x the number of cookies that Walter needs to make, then we know that the amount of cookies will be:
[tex]x +15[/tex]
Then this amount must be greater than or equal to 20 and must be less than or equal to 55 then.
[tex]x + 15 \geq20[/tex] and [tex]x + 15 \leq55[/tex]
This is:
[tex]20 \leq x + 15 \leq 55[/tex]
We solve the inequality for x.
[tex]20-15 \leq x + 15-15 \leq 55-15\\\\5 \leq x \leq 40[/tex]
Then the amount of cookies that Walter must make must be greater than or equal to 5 and less than or equal to 40
Answer: It is A
Step-by-step explanation:
Levi reads 280 words in 2 minutes how many words can he read in 5 minutes.
Hello There!
WHAT WE KNOW Levi reads 280 words in 2 minutes. We need to find out how many words he can read in 5 minutes
To find out how many words Levi can read in 5 minutes, it will first be easier to find out how many words Levi can read in 1 minute. To find this, we will divide 280 by 2 and that will give us the number of words per minute.
Next, once we divide we will get a quotient of 140.
Finally, we take 140 and multiply it by 5 and we get a product of 700
Therefore, Levi reads 700 words in 5 minutes
what is the third angle of a right triangle if one of the angles measures 51.
Answer:
39
Step-by-step explanation:
The short answer is 39.
Every triangle has 180 degrees. There are no exceptions to this rule.
Since a triangle has 3 angles, all three together must add up to 180o
A right angle = 90 degrees always.
You are given 51 degrees as your second angle
The third one is x
x + 51 + 90 = 180 Total of three angles must be 180
x + 141 = 180 The left has been added to give 141
x = 180 - 141 Subtract 141 from both sides
x = 39 The third angle = 39
2. What is the formula for finding the horizontal distance between two points on a coordinate plane?
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{a}~,~\stackrel{y_1}{b})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{d})\qquad \qquad d = \sqrt{\underset{\underset{\textit{horizontal distance}}{\uparrow }}{( x_2- x_1)^2} + ( y_2- y_1)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{so in short is just }x_2-x_1[/tex]
what is the factor xsquared plus 4x plus 4
Answer:
(x + 2)²
Step-by-step explanation:
x² + 4x + 4 ← is a perfect square of the form
(x + a)² = x² + 2ax + a²
Comparing coefficients of like terms
4 = 2² ⇒ a = 2 and 2ax = (2 × 2)x = 4x
Hence
x² + 4x + 4 = (x + 2)²
What is the circumference of the circle? Use 22/7 for pi
Answer:
The second choice, 55 cm.
Step-by-step explanation:
Formula for circumference:
[tex]\pi * d[/tex]
[tex]\frac{22}{7} * \frac{35}{2} = \frac{770}{14} \\\\770 / 14 = 55[/tex]
The circumference of the circle is 55 cm.
Answer:
Circumference of circle is:
55 cm
Step-by-step explanation:
we are given diameter d of a circle=35/2 cm
We have to find its circumference.
We know that circumference of circle in terms of its diameter is:
Circumference=πd
Circumference=[tex]\dfrac{22}{7}\times \dfrac{35}{2}[/tex]
=55 cm
Hence, circumference of circle is:
55 cm
A vegetable garden in the shape of a rectangle is to be divided up into 4 sections using the diagonals. A stake marks the intersection of the diagonals. What is the length of 1 diagonal if the distance from 1 vertex to the stake is 8.1 feet?
A. 24.3 ft
B. 16.2 ft
C. 4.05 ft
D 8.1 ft
Answer:
B. 16.2 ft
Step-by-step explanation:
one vertex to the stake is 8.1, and because the stake is the "halfway" point, the diagonal is twice that length.
8.1 * 2 = 16.2 ft
Answer:
The correct option is B.
Step-by-step explanation:
Given: Rectangle with the stake marking where diagonal intersect each other.
To find : The length of the one of the diagonal.
Solution:
Diagonals of rectangle bisect each other into two equal parts.
So, the distance of all vertices from the stake will be same as that of the 8.1 feet.
So the length of the diagonal will be:
[tex]2\times \text{Distance from 1 vertex to the stake}[/tex]
[tex]=2\times 8.1 feet=16.2 feet[/tex]
Hence, the length of the diagonal will be 16.2.
Factor this polynomial completely.
x^2-8x+12
Answer:
(x - 2) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - 8 x + 12
The factors of 12 that sum to -8 are -2 and -6. So, x^2 - 8 x + 12 = (x - 2) (x - 6):
Answer: (x - 2) (x - 6)
The factors of the given polynomial are (x-6) and (x-2).
The given polynomial is x²-8x+12.
The factors are the polynomials which are multiplied to produce the original polynomial.
By splitting middle term method, we get
x²-6x-2x+12
x(x-6)-2(x-6)
(x-6)(x-2)
Therefore, the factors of the given polynomial are (x-6) and (x-2).
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