Mathematics High School

What is the factored form of 6n4 – 24n3 + 18n?

Answers

Answer 1
6n^4-24n^3+18n
6n(n^3-4n^2+3)
6n(n-1)(n^2-3n-3)

Answer 2

Answer:

Step-by-step explanation:

Notice to facts:

The numbers 6, -4 and 18 have a common factor: 6.In all the terms (n⁴, n³, n) are a factor n.

The expression has a common factor 6n. Then,

6n⁴-24n³+18n = 6n(n³-4n²+3).

In order to factor the term n³-4n²+3 we use Ruffini-Horner rule, which gives us that

n³-4n²+3 = (n-1)(n²-3n-3).

Then,

6n⁴-24n³+18n = 6n(n³-4n²+3) = 6n(n-1)(n²-3n-3).

If you don't know the formula for the general solution of second degree equation, you are done. Otherwise, it is only to use it in the quadratic factor.

Related Questions

ok guys so i had trouble on this algrebra question for a while if you can help me out thxs so much: Jenny had 2 apples if she added two more how many would she have altogether. Im stuck plz help

Answers

Hello there!

She had 2 Apples
If she added 2 more
What does 2 + 2 equal? It equals to 4

Same thing here,

2 apples that she had + 2 apples that she added = 4 apples

Thus,
She will have 4 apples.


I hope I helped~

How to do the how long will it take two people to paint a room problem?

Answers

Two people painting a room: 
Let's example: Mark takes 3 hours, Jane takes 5 hours, to paint the same room.

Let x= the amount of the room each person paints in a given amount of time. 
So, Mark's contribution is represented by x/3
Jane's contribution is represented by x/5
Together, they paint one entire room, so our equation will equal...1.
[Our working equation] x/3 + x/5 = 1
[Find common denominator] 5x/15 + 3x/15 = 1
[add fractions] 8x/15=1
[solve for x] 8x=15
x=15/8 or 1 7/8 hours. They can paint the room together in 1 7/8 hours.

Shannon wants to buy cupcakes for her friend's birthday party. The bakery she goes to sells cupcakes for $3.50 each. The bakery also sells gift cards for $2.00, and Shannon decides to buy one card. If Shannon buys 10 cupcakes, how much money does she spend at the bakery?

Answers

So I think it would be $35 because if you multiply $3.50 by ten then it would be $35
ten times $3.50 is 35.00 plus $2.00 for one gift card, so the answer is $37.00

one serving of granola provides 4% of the protien you need daily. you must get the remaining 48 grans of protien fron other scources. how many grams of protein do you need daily?

Answers

it fifty that would be the answer

Skylar needs to buy a pair of dress pants for $40, a shirt for $30, and a tie for $20. Skylar has three coupons. The first coupon gives him x percent off on a shirt. The second coupon gives him y percent off on the dress pants. The third coupon gives him z percent off on his total purchase. He cannot combine the coupon for the total purchase with the other two coupons. These expressions give both possibilities for the total cost of Skylar's purchase after the coupons are applied. The variables represent percentages as decimals. (1−x)30+(1−y)40+20 (1−z)(40+30+20) Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Answers

the dress pants cost 40 bucks....the coupon for the dress pants is y percent off the dress pants...

so the part of the expression that represents the percent that skylar will pay for the dress pants is : (1-y)40

Answer: Hello there!

As we know, the dress pants cost a total of $40, and we also know that Skylar has a coupon of y percent in the dress pants and a coupon of z percent in the total purchase.

In this problem, the question is:

Skylar uses the dress pants coupon. Which part of the expression represents the percent that Skylar will pay for the dress pants?

Ok, if we have a discount of y percent, (where y is represented as decimals) means that you are paying the total price of something ( the 100%) minus the the decimal y multiplied by the price of the object.

this is: $40 - y*$40 = (1 - y)*$40

then if the dress pants cost $40, and Skylar only uses the dress pants coupon, he will pay (1 - y)*$40 for the dress pants.

I really need help with #4

Answers

The mean is 65 and the median is 15

40 POINTS

Which ordered pair is a solution to the system of inequalities?

Check image below.

Answers

solve for the 2nd equation with the answers:

A. 1+3 =4  ( not less than 4)

B. 0+4 = 4 ( not less than 4)

C. -3 + 5 = 2 ( less than 4) & y is >-2

D. -2 +-3 = -5 ( less than 4) but -3 is <-2

 so answer is C



what is the intersection of plane stxw and plane stv

Answers

Line st would be your answer

How many terms are in the expression shown below?
a2 - ab + 8b + b2 - 1

2

3

4

5

Answers

In Mathematic, one term is a number, leter or both separated by '+' or '-'

The expression have five terms.

One third of a number is three more than one fourth the same number. What is the number.

Answers

(1/3)x=3+(1/4)x
is the same as
(4/12)x=(36/12)+(3/12)x
subtract the 3/12x from each side
(1/12)x=36/12
multiply by 12 on each side
x=36

If the product of two numbers is zero then at least one of the numbers must be zero

Answers

This statement is true.

what is the property of 7(3+4y)=21+28y

Answers

Associative property

Eliminate the parameter. x = square root of t, y = 3t + 7

Answers

We have to eliminate the parameter ( t ):
x = √ t  
Therefore t = x²
y = 3 t + 7
Answer:
y = 3 x² + 7

Answer:

y = x divided by three + 7

Step-by-step explanation:

Use the formula m = to calculate the slope of the line.
The slope of the line is .

Answers

The slope m of the line passing through points A(a, b) and B(c, d) is determined by the formula:

[tex]\displaystyle{m= \frac{d-b}{c-a} [/tex]


that is, the slope is the ratio of the difference of the y-coordinates, to the difference of the x-coordinates:

In our problem we have points A(-6, -8)  and B(2, 8), 

applying the formula for the slope, we have:


[tex]\displaystyle{m= \frac{d-b}{c-a} = \frac{8-(-8)}{2-(-6)}= \frac{16}{8}=2 [/tex]



Answer: 2

The slope of the line passing through the points is 2

How to find the slope of a line

The formula for calculating the slope of a line is expressed as:

m =y2-y1/x2-x1

Given the coordinate points expressed as(2, 8) and (-6, -8). Substitute the given values to have:

m =y2-y1/x2-x1

m =-8 -8/-6-2

M = -16/-8

M = 2

Hence the slope of the line passing through the points is 2

Learn more on slope here: https://brainly.com/question/3493733

One number is 4 more than 3 times another. Four times the larger decreased by 5 times the smaller is equal to the smaller subtracted from 32. Find the numbers

Answers

Look at the pic I added. This is what you need.

in the chorus there is 12 more girls than boys there 32 students in the chorus how many boys are there and how many girls are there

Answers

There are 10 boys and 22 girls

Hope this helps!! Message me with questions

the formula P=2I + 2w means that the perimeter of a rectangle is equal to twice the sum of its length and its width

Answers

what's the question?

Answer:

Step-by-step explanation: simple Answer I got

I=p-2w over 2

observation often starts the scientific process observation is useful because it helps scientist_____
a) form questions
b) develop opinions
c) summarize data
d) write laws

Answers

The answer is a) form questions because the scientist must first have a question or problem to solve for him to conduct the scientific process

One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hours will the charge be the same and what is the charge?

Answers

Hour 16; $1056
Hope this helps :)

If p: It is not cold. What is ~ p?
it is cold
it is mildly cold
it depends
none of the above

Answers

The ~ (which is called a "tilde") symbol means to negate the proposition.

So, the answer is "it is cold".

Answer:

"it is cold"

Step-by-step explanation:

A storeowner places a “No Smoking” sign in front of their store. This would be classified as a type of what factor.

Answers

The "No Smoking" sign would be classified as a health protective factor.

This is because it mainly aims at preventing possible diseases that can occur to those who are smoking as well as those who are inhaling the gases produced in the air from smokers.
This sign encourages active smokers to put off their cigarettes and throw them away and it protects the non-smokers from being subjected to the smoke produced from smokers. By this, it reduces the risk of cancer.

Answer:

external pressure

Explanation:

This is the full question:

A sign in front of a store says "No Smoking.” What kind of factor is this sign?

external pressure

internal pressure

media influence

peer pressure

4x -y =1
I need to get the variable y by its self.

Answers

4x - y = 1

Simply subtract 4x from both sides.

-y = -4x + 1

Then, divide both sides by -1, so that y turns into a positive.

y = 4x - 1

~Hope I helped!~

In ABC, C is a right angle, what is the measure of x?



A. 22.4°
B. 67.6°
C. 20.9°
D. 69.1°

Answers

B is the right answer

Answer:

Option B. 67.6°

Step-by-step explanation:

In the given triangle ABC angle C is the right angle, side AB = 21 and side AC = 8.

We have to find the measurement of angle A.

Now from cosine rule we can write

[tex]CosA = \frac{Base}{hypotenuse}[/tex]

Here Base in the corresponding side of the angle A that is 8 and hypotenuse is 21.

Now we put the values

Cos x = 8/21 = 0.3809

[tex]x=cos^{-1}0.3809[/tex]

Or x = 67.61°

Therefore measurement of angle A or x = 67.6° is the answer.

Solve the inequality.
-x/4 ≤ 2

Answers

Multiply both sides by 4, making it 
-x<8
Switch the signs as you make 8 negative and x positive
x>-8 
(Make sure to make the signs greater and less than or equal to
 the answer is is is x ≥ -8

28Students were surveyed and the results showed that of 18 of them loved to play video games what percentage of the students loved to play video game.

Answers

Alright, so 18 out of (divided by) 28 students loved to play videogames. That equals around 0.64, and the percentage is therefore around 64%

After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets and had a total of $700 profit. Which equation models the total profit, y, based on the number of tickets sold, x?
a. y – 300 = 4(x – 100)
b. y + 300 = 4(x + 100)
c. y + 300 = 2.5(x + 100)
d.y – 300 = 2.5(x – 100)

HELPPPPPPPPPPP

Answers

the answer to this problem is a. y-300=4(x-100)

Answer:


Option a :  [tex]y-300 = 4(x - 100)[/tex]


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ ([tex]x_{1} ,y_{1}[/tex])=(100,300)


For 200 tickets he had $700 in profit .


⇒ ([tex]x_{2} ,y_{2}[/tex])=(200,700)


We will use point slope form i.e.


[tex]y-y_{1} = m(x - x_{1})[/tex] --(A)


Now, to calculate m we will use slope formula :


[tex]m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }[/tex]


[tex]m = \frac{700 -300}{200-100}[/tex]


[tex]m =4[/tex]


Now, putting values in (A)


[tex]y-300 = 4(x - 100)[/tex]


Thus Option a is correct i.e. [tex]y-300 = 4(x - 100)[/tex]




Find all the real zeros of x3-2x2-5x+6=0.

Answers

(×-1)(×-3)(×+2)
×=1
×=3
×=-2

×1=-2
×2=1
×3=3

Mrs.Carson pays Kristen $48 for babysitting 6 hours,and Mr.Vaquez pays her $67.50 for babysitting 9 hours,Who pays Kristin the better salary? Explain your answer

Answers

Mr Carson pays the better salary because 48/6 =$8 hrly

while $67.50 /9 hrs is only $7.50 hrly

Reduce to simplest form.

3 6/2 × 2 4/5

2 5/6 × 2 7/9

2 2/5 × 4 3/4

1/2 × 3

19/20 × 14

3/8 ×21

3/8 ×12

Answers

convert 3 6/2 to an improper fraction so: 12/2
convert 2 4/5 to 14/5 
multiply the numerators of the improper fractions so 12*14, which is 168.
multiple the denominators so 2*5, which is 10.
the new fraction is 168/10, so you divide 168 divided by 10, which is 16.8, or 16 4/5.

The tangent of a 45 degree angle is _____.

1
0
1/2
-1

Answers

tan 45 = 1

your answer is 1
The answer is 1

reason to this being 1.. is 45 degrees is pi / 4 
tan is composed of sin(x) over cos(x) which angels are sqrt 2 over 2 
when you divide them by each other is the same as multiplying by their 
reciprocals making the answer 1.

hope this helps and give brainliest, id appreciate it 
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