Write the polynomial in terms of its linear factors.

P(x) 2x^4 - 4x^3 - 16x^2

Answers

Answer 1

9514 1404 393

Answer:

  P(x) = (2x)(x)(x-4)(x+2)

Step-by-step explanation:

Once the common factor of 2x^2 is factored out, you have ...

  P(x) = 2x^2(x^2 -2x -8)

To factor the quadratic, you look for factors of -8 that have a sum of -2.

  -8 = (1)(-8) = 2(-4)

These last factors have that sum, so we can write P(x) as ...

  P(x) = (2x)(x)(x +2)(x -4)


Related Questions

what is the solution for w in the equation

w+1/2=1/4w+2

options

w=2
w=9/8
w=4
w=10/3​

Answers

Answer:

Subtract 1/2 from both sides of the equation.

w=1/4w+1 1/2

Multiply both sides by 4

4w=w+6

Subtract w from both sides

3w=6

Divide both sides by 3

w=2

Check answer

2+1/2=1/4(2)+2

2 1/2=2 1/2

Step-by-step explanation:

Translate the following sentence into an algebraic inequality: The quotient of a number, x, and nine is less than eight more than the product of five and the same number x.

Answers

Answer:

x/9-8x+5x

Step-by-step explanation:

I can't help but to solve it:

x/9=9x

9x-8x+5x=6x

= 6x

Tell whether the value is a solution of the
- 5 = QS)-1; S = 10

Answers

Answer:

S=− [tex]\frac{4}{Q}[/tex]

Step-by-step explanation:

−5=(QS)−1

Swap sides so that all variable terms are on the left hand side.

QS−1=−5

Add 1 to both sides.

QS=−5+1

Add −5 and 1 to get −4.

QS=−4

Divide both sides by Q.

[tex]\frac{QS}{Q}[/tex]=[tex]\frac{-4}{Q}[/tex]

Dividing by Q undoes the multiplication by Q.

S= [tex]\frac{-4}{Q}[/tex]

Divide −4 by Q.

S=− [tex]\frac{4}{Q}[/tex]

What must be true about the average rate of change between any two points on the graph of an increasing function?

Answers

Answer:

If a function is increasing, the average rate of change between any 2 points must be positive.

If we have an increasing function, the average rate of change between any two points must always be positive.

What must be true about the average rate of change?

For an increasing function f(x), we have that if:

b > a

Then:

f(b) > f(a).

Now, we define the average rate of change on an interval (a, b) as:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

In this case, because:

b > a

f(b) > f(a)

Then:

b - a > 0

f(b) - f(a) > 0.

So both numerator and denominator are positive, which implies that the quotient must be positive.

Then, if we have an increasing function, the average rate of change between any two points must always be positive.

If you want to learn more about average rate of change, you can read:

https://brainly.com/question/8728504

Find the value of x in the attached shape

Answers

Answer:

x = 110

Step-by-step explanation:

This shape is a heptagon. A heptagon's interior angles add up to 900 degrees. You can solve for x by finding the sum of all known values, and subtracting that sum from 900.

105 + 150 + 140 + 135 + 125 + 135 = 790

900 - 790 = 110

Answer:

it's the haptagon so it's sum of all sides is equall to900 degree

so first add the side accept x and subtract it with 900 degree

the answer will be 110 degre

hope it helps u

BILL IS IN A CLASS OF 15 BOYS AND 35 GIRLS. 30% OF THE STUDENTS IN
THE CLASS TAKE THE BUS TO SCHOOL. HOW MANY STUDENTS DO NOT TAKE
THE BUS TO SCHOOL?
Step by step explanation plz I need to show my work!

Answers

Answer:

35

Step-by-step explanation:

15+35=50

50=total number of students

50*0.3 = 15

50 - 15 = 35

35 students do not take the bus to school

Pls help me
8th grade math

Answers

The y intercept is 7

Answer:

y-intercept = 7

Step-by-step explanation:

y intercept is where the line meets with the y axis which is the vertical axis.

hope this helped!

What is the mean score what is the median of the score brookewood medical center

Answers

Step-by-step explanation:

The mean of a set a score is simply the average score.

  To find the mean, simply sum the individual scores and divide by the total number of scores;

  Mean of a  set of score  = [tex]\frac{Total scores}{Number of scores}[/tex]

Another way to find the mean is using:

   Mean  = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]

Multiply the frequency of each score with the score and divide by the sum of all of the frequency.

2. The median is the middle score;

 Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.

If there are two numbers find their sum and divide by 2.

One analog clock loses 3 minutes every 2 hours and another analog clock gains 3 minutes every 4 hours. At noon, the owner sets the correct time on both clocks and leaves on a business trip. When he returns home in less than two weeks, the clocks show the same time. What time do the clocks show? PLEASE HELP ASAP

Answers

Answer:

12 noon

Step-by-step explanation:

Clock 1 loses 3 minutes every 2 hours. Now, 2 hours = 120 minutes.

This means, it has speed of 120 - 3 = 117 minutes for every 2 hours.

Thus, in 1 hours, it's speed = 117/2 = 58.5 min/hr

Clock 2 gains 3 minutes every 4 hours

Which means in an hour, it gains ; 4/3 minutes

Thus, it's speed an hour is; 60 + 4/3 = 61.333 min/hr

Now, When he returns home in less than two weeks, the clocks show the same time.

let's say the number of hours he was away is x. For the 2 clocks to show the same time, it means they have to show it by 12 noon at another day since it was at noon that he set the correct times before leaving.

Thus, they will both be showing 12 noon.

Luisa wants to use place-value blocks to show 367+215. How many tens blocks will she need to show the sum by regrouping?

Answers

Answer:

She will need 58 tens blocks but there is a leftover amount of 2 so that would be 2 ones as well.

Step-by-step explanation:

357+215=582/10=58.2  (2 is the remander and thats how I got 2 ones as well)

1x2x3x4x5 will make brainliest

Answers

Answer:

120

Step-by-step explanation:

I wrote down the equation on paper and solved it

The product of the given numbers is 120.

The given expression is 1×2×3×4×5.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here, 1×2×3×4×5 = 120

Therefore, the product of the given numbers is 120.

Learn more about the multiplication here:

https://brainly.com/question/1562995.

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c) Write j(x) -h(x) in standard form.

Answers

Answer:

The answer is 0.

Step-by-step explanation:

Elias bought 7 new shirts for school.
Five shirts cost $60.90. He also bought
a pair of pants for $14.99. Without tax,
what is the total amount Elias spent?

Answers

Answer:

$100.25

Step-by-step explanation:

This question says that 5 shirts cost $60.90, so you would divide the two numbers to find out the price of 1 shirt

$60.90÷5=$12.18

Then you would just solve this equation

T=$12.18x+$14.99

T= Total Money Spent

x= Number of Shirts

Plug in the 7 shirts and solve

T=$12.18(7)+$14.99

T=$85.26+$14.99

T=$100.25

What reference angle will you use to determine cos 480° ?
A.)30°
B.)45°
C.)60°
D.)0°

Answers

I believe your answer would be C

what is 4/9 times what equals 12

Answers

Step-by-step explanation:

4/9A = 12

A = 12×9/4

= 27

......

Can someone help me answer this question :)

Answers

Answer:

Step-by-step explanation:

find the slope 1/2

then write it as y-4=1/2(x+6)

then u get y=1/2x+7

Answer:

Slope-intercept form: [tex]y = \frac{x}{2} + 7[/tex]  Standard form: [tex]2y - x = 14[/tex]  

I hope this helps!

I need help please! this is on EDGE2020 !

Answers

Answer:

D

Step-by-step explanation

A. there are 6 triangles so not this

B. Only 2 rectangles

C. 6 triangles once again

D. everything matches

Answer:

for every 6 triangles there are 2 rectangles

Solve.
(4b^2 + 4)12b^2 - 5)

Answers

649373837 okay good well i hoped that work for u

2/10=g/20 in proportions

Answers

Answer

Step-by-step explanation:

10g = 40

g = 4

Salazar is driving 70 miles per hour. At this rate, how long will it take for him to travel 840 miles?

Answers

Answer:

12 hours

Step-by-step explanation:

Step 1:

70 : 1             Ratio

Step 2:

70 : 1 = 840 : x       Equation

Step 3:

840 = 70x      Multiply

Step 4:

x = 840 ÷ 70      Divide

Answer:

12 hours

Hope This Helps :)

A bakery sells 3 muffins for every 5 pizza pies. The bakery sold a total of 24 muffins and pizza pies together. How many of each kind did the bakery sell?
6 muffins and 18 pizza pies
9 muffins and 15 pizza pies
15 muffins and 6 pizza pies
18 muffins and 6 pizza pies

Answers

Answer:

b

Step-by-step explanation:

9 muffins and 15 pizza pies. im pretty sure

8
Kevin cycles past his mum who is sitting on a park bench. What is the relative speed
if Kevin is cycling at 20 km/h?
Include a unit in your answer.​

Answers

Answer:

Kevin cycles past his mum who is sitting on a park bench. What is the relative speed if Kevin is cycling at 20 km/h?

Step-by-step explanation:

20 km/h

The area base of this rectangular prism is 256 in2. What is the volume of the rectangular prism?

Answers

Step-by-step explanation:

volume of the rectangular prism is obtained from the following equation :

rectangular prism base area × rectangular prism height

so the volume is : 256 × h

Easy question for easy points

Answers

Answer:

50 berries left over

Step-by-step explanation:

55 berries     1700 berries

--------------- = -------------------

1 jar                   x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

Answer:

50 berries left over

Step-by-step explanation:

55 berries     1700 berries

--------------- = -------------------

1 jar                   x jars

Using cross products

55x = 1700*1

Divide each side by 55

55x/55 = 1700/55

x = 1700/55

Changing to a mixed number

55 goes into 1700 30 times

30 *55 =16501700-1650 = 50

x = 30 50/55 = 30 10/11

There are 50 berries left over

Step-by-step explanation:

Which value of n makes this equation true?
3n + 3
5
5n– 1
9
OA.
n=-16
OB.
n=-2
O C.
n= 2
OD.
n = 16

Answers

Answer:

the answer is A. -16

Step-by-step explanation:

3(-16)+3= -45

-45/5=

-9

5(-16)-1=-81

-81/9=

-9

-9=-9

What is the mixed number form of 27/4 SOMEONE PLS HELP

Answers

Answer:

6 [tex]\frac{3}{4}[/tex]

a. -3x2 + 4x +5 for x =-2

Answers

Answer:

9

Step-by-step explanation:

Let f(x) = 2x + 1, g(x) = 3x - 2. Find the function (f - g)(x)

Answers

Answer:

Step-by-step explanation:

I thought they corrected this problem. Apparently not. I have to change eff(x). Change it to y

You can read this as y - g(x)

y - g(x) = 2x + 1 - 3x + 2

y - g(x) = -x + 3

cómo se escribe el número 88,317​

Answers

Answer:

ochenta y ocho mil trescientos diecisiete

Step-by-step explanation:

eighty-eight thousand three hundred seventeen

Answer:

80,000 + 8,000 + 300 + 10 + 7

eighty-eight thousand three hundred seventeen

Step-by-step explanation:

hola <3 espero que haya ayudado

The volume V of a pyramid is given by the formula V = Bh where B is the area of the base and h is the height
v = 216 cm
B - 36 cm
a. Solve the formula for h
b. Find the height of the pyramid
The height is
centimeters

Answers

Answer:

A. V/B=H B. The height, h, is 6 cm.

Step-by-step explanation:

A. Rearrange the formula V=Bh by dividing both sides by B to isolate h.

B. Plug in the Volume and Base into your rearranged formula to find the height. 216/36= h. h=6

a. The formula for height is h = V/B.

b. The height of the pyramid is 6 centimetres.

What is the total surface area of a given pyramid ?

The total surface area of a pyramid is the surface area of the triangular sides in addition to the surface area of the triangular base.

According to the given question we have the volume of the pyramid which is 216 cm³ and base is also given which is 36 cm.

Given V = Bh

∴ h = V/B.

h = 216/36

h = 6 cm.

learn more about pyramid here :

https://brainly.com/question/14013519

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