Show that the binomial is a factor of the polynomial. Then factor the polynomial completely.

g(x)=x3−x2−20x; x+4
g(x)=

Answers

Answer 1

Answer:

g(x) = x(x - 5)(x + 4)

Step-by-step explanation:

Here the binomial is x + 4, indicating that a root is -4.  Note that x is common to all terms of g(x)=x3−x2−20x, so we can immediately write g(x) in partially factored form as

g(x) = x(x^2 - x - 20).  Since -20 = -5*4,

g(x) = x(x - 5)(x + 4)

Answer 2

Answer:

x(x-5)(x+4)

Step-by-step explanation:

Checked. Answer submitted prior to mine is correct on BIM.


Related Questions

PLEASE HELP ME!!
let g be the function given by g (x) = 3x^4 - 8x^3. At what value of x on the closed interval [ -2,2 ] does g have an absolute maximum

Answers

Take the derivative:
g’(x) = 12x^3 - 24x^2

Set equal to zero and solve:
0 = 12x^3 - 24x^2
0 = 12x^2 (x - 2)

x = 0 or x = 2

Plug back into original
g(0) = 3(0^4) - 8(0^3)
g(0) = 0 - 0
g(0) = 0

g(2) = 3(2^2) - 8(2^3)
g(2) = 3(4) - 8(8)
g(2) = 12 - 64
g(2) = -52

There is an absolute max at (0,0) or when x = 0

The value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

Given the function [tex]g (x) = 3x^4 - 8x^3[/tex]

The function is at a maximum at g'(x) = 0

Differentiating the function given:

[tex]g'(x)= 12x^3-24x^2\\0= 12x^3-24x^2\\ 12x^3-24x^2=0\\12x^2(x-2)=0\\12x^2=0 \ and \ x - 2 = 0\\x = 0 \ and\ 2 \[/tex]

Substitute x = 0 and x = 2 into the function;

g(0) = 3(0)^3 - 8(0)^3

g(0) = 0

Since the range of the function is least at x = 0, hence the value of x on the closed interval [ -2,2 ] that g has an absolute maximum is 0

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10. *
10. If Talia's old bedroom measured 10
feet by 10 feet, how much larger or
smaller will her new bedroom be?

Answers

Answer:

A

Step-by-step explanation:

3x + 160y<=1120 written in slope intercept form

Answers

3x/160 try that let me know if it wrong

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, 3) and (3, 4). Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 2) and (1, 1). Everything to the right of the line is shaded.
Which system of linear inequalities is represented by the graph?

Answers

Answer:

A. y≥[tex]\frac{1}{3\\}[/tex]x+3, 3x-y>2

Step-by-step explanation:

The linear equations above match the lines in terms of slope and y-intercept.

I hope you found this helpful! If you did, I'd really appreciate if you'd mark my work as 'brainliest'. Please don't hesitate to ask any questions!

Have a great day!

The system of linear inequalities of the given points is required.

The system of inequality is

[tex]x-3y\leq -9[/tex]

[tex]3x-y>2[/tex]

Points of the first line

[tex](0,3)[/tex]

[tex](3,4)[/tex]

The equation of the line is

[tex]y-3=\dfrac{4-3}{3-0}(x-0)\\\Rightarrow y-3=\dfrac{1}{3}x\\\Rightarrow y-\dfrac{1}{3}x=3\\\Rightarrow 3y-x=9\\\Rightarrow x-3y=-9[/tex]

Let us take a point above this line [tex](2,4)[/tex]

It is also a solid line.

[tex]2-3\times 4=-10<-9[/tex]

So, the inequality is [tex]x-3y\leq -9[/tex]

Points of the second line

[tex](0,-2)[/tex]

[tex](1,1)[/tex]

The equation of the second line is

[tex]y+2=\dfrac{1+2}{1-0}(x-0)\\\Rightarrow y+2=3x\\\Rightarrow 3x-y=2[/tex]

Let us take a point towards the right of the line [tex](2,2)[/tex]

[tex]3\times 2-2=4>2[/tex]

Since, the line is dashed the second inequality will be [tex]3x-y>2[/tex]

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https://brainly.com/question/13447558?referrer=searchResults

write 8,000,000 in scientific notation ?​

Answers

Answer:

A: 8 x 10^6

Step-by-step explanation:

what is 9+p when p=20?

Answers

Answer:

your answer should be. 9+20=29

the answer is 29

9+20 is 29

Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?

Answers

Answer:

Age of Mark [tex]=10[/tex] years

Age of Mark's dad [tex]=30[/tex] years

Age of Mark's sister [tex]=8[/tex] years

Step-by-step explanation:

Let age of Mark be [tex]x[/tex] years.

Mark's dad is three times older than Mark

Age of her Mark's dad [tex]=3x[/tex]

Mark's sister is 2 years younger than Mark

Age of Mark's sister [tex]=(x-2)[/tex] years

The sum of their ages is 48.

[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]

Age of Mark [tex]=x=10[/tex] years

Age of Mark's dad [tex]=3x=3(10)=30[/tex] years

Age of Mark's sister [tex]=x-2=10-2=8[/tex] years

Tina likes to go on distance-learning steam she travels 60 K in 12 seconds what is the constant of proportionality

Answers

Answer:

5

Step-by-step explanation:

Given that:

60km in 12 seconds

Distance α time

Distance = k * time

K = constant of proportionality

Distance = 60 ; time = 12 seconds

60 = 12k

60/12 = 12k/12

5 = k

Constant of proportionality is 5

Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9

Answers

Answer:

The question is unclear. Please provide the table.

PLEASE HELP IM GIVING ALL MY POINTS
when ms mason bought a new computer she borrowed 1200 at the rate of 18% for 9 months how much interest did she pay

Answers

Answer:

$216 or $162    (see below)

Step-by-step explanation:

If it's 18% for 9 months (and not per year)

then

1200x0.18=$216

If it's 18% per year then

1200x0.18x0.75=$162

PLSSSSS

• Demand equation: 0.7x + y = 340
Supply equation: -1.5x + y = 320
1. Solve the system algebraically to determine the balance point between
supply and demand.

Answers

Answer:

Step-by-step explanation:

Subtract equation 2 from equation 1

.7x+y-(-1.5x+y)=340-320

.7x+y+1.5x-y=20

2.2x=20

x=100/11, then use this in either original equation to find y.

.7(100/11)+y=340

y=3670/11, so the balance point is

(100/11, 3670/11)

help, please!!!its urgent

Answers

Answer:

Step-by-step explanation:

its f because its pretty easy

use substitution to solve the system of equations. Write the solution as an ordered pair.
x + 2y = 14
y = 3x - 14

Answers

Answer:

Step-by-step explanation:

x + 2(3x - 14) = 14

x + 6x - 28 = 14

7x - 28 = 14

7x = 42

x = 6

y = 3(6) - 14

y = 18 - 14

y = 4

(6,4)

Will mark brainliest! help asap! Don’t scam

Answers

(-8,-16) I believe ....

Will give brainliest if correct!
Determine the slope of the following

Answers

Answer:

m = 2

Step-by-step explanation:

Plug 2 coordinates into the slope formula

(y2-y1)/(x2-x1)

For this I will choose the first and third coordinates:

15-7/5-1 = 2

The slope is 2

Please help!
The box plots below show attendance at a local movie theater and high school basketball games.
Which of the following best describes how to measure the spread of the data?

Answers

Answer:

The standard deviation is the best measurement of spread for games and movies.

one divided by eight over nine

Answers

[tex]\frac{1/8}{9}[/tex] is the answer.

Brainiest if possible? thnx

What’s the purchase price??

Answers

Answer:

$18,000

Step-by-step explanation:

Trust me it's right

How much is a new car?

What is the perimeter of this triangle?
PLEASE HELP​

Answers

Answer:

Step-by-step explanation:

perimeter=16+12+20

                = 48

Answer:

48

Step-by-step explanation:

Perimeter is all of the sides added together, so add each of the outside values together. The inside value doesn't matter in this problem.

16+12+20=48

If f (x) = 5x + 4 then for what value of x will f(x) equal -11?​

Answers

Answer:

-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

This should be the answer. Brainliest would be appreciated.

what is the answer to this question

Answers

Answer:

the height is 4

Step-by-step explanation:

it is a right triangle and also a perfect 3-4-5 right triangle

[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]

[tex]9 + {h}^{2} \: eqauls \: 25[/tex]

subtract 9 from 25

[tex] {h}^{2} \: equals \: 16[/tex]

then you square root 16

[tex] \sqrt{16} [/tex]

and now you height is 4

Convert:
a) 3.65kg to g b) 568cm to m
c) 82L to cL
d) 0.825 m to dam e) 67.89 hg to dg f) 69g69mgtomg
Only need the answer and pls give fast pls

Answers

c. Is your answer i think :)

how could you write 4/8 as a percent without dividing? I am really stuck I need help!!! thank you

Answers

50%. Aaaaaaaaaaaqaaafs

Answer:

it's 50% because the 4 is just half of 8 (plus if you did divide you get 0.5 and 0.5 as a percent is 50%)

Hope this helped!

Step-by-step explanation:

05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29
11
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
List all the possible outcomes of the 3 throws.
w​

Answers

H= heads T= tails

HHH
HHT
HTT
HTH
TTT
TTH
THH
THT

An arrow is moving at 35 m/s and travels for 5 seconds. How far did the arrow travel?
PLEASE SHOW WORK!

Answers

Answer:

175 metres it will travel this is answer hope it helps

175 meters 35 times 5 equals 175

which table of values can be defined by the function y =6x - 2?

Answers


i need help with this question too! :(

Answer:

the answer is A

Step-by-step explanation:

A CD is circular and has a diameter of 6 centimeters. Which is closest to the area of the CD? Use 3.14 for π

Answers

Answer:

28.26 cm²

Step-by-step explanation:

Area of a circle = πr²

         r = diameter/2

         r = 6/2 = 3

A = (3.14)(3)²

A = 28.26 cm²

Circle T has diameters RP and QS. The measure of ∠RTQ is 12° less than the measure of ∠RTS.

Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.

What is the measure of Arc Q P?

78°
84°
88°
96°

Answers

Answer:

96 degrees

Step-by-step explanation:

STR + STQ=180 degree

Substitute

x+x-12=180

2x-12=180

2x=192

x=96

Answer:   D. 96 is the cooorrrreccccct answer

Step-by-step explanation:

edge 2021

Extra-large pizzas are on sale at a 15% discount. The original cost of an extra-large pizza is $28.00. How much is the cost of the pizza after the discount?

a. $23.80

b. $4.20

c. $26.60

d. $32.20

Answers

$23.80 bc you will pay $23.8 for a item with original price of $28 when discounted 15% you will pay $28 - $4.2 = $23.8 dollars.

If f(x) = 3x - 2 what is f-1(x)

Answers

Answer:

2x-2

Step-by-step explanation:

please lmk if im wrong or not

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