Polynomials and Factoring Unit Test part 2

f (x) = 9x^3 + 2x^2 – 5x + 4 and g(x) = 5x^3 - 7x + 4. what is f (x) – g(x)? Show all of your steps and write your final answer in factored form. Math symbols.

PLEASE HELP ME ​

Answers

Answer 1

Answer:

4x^3+2x^2+2x

Step-by-step explanation:

Answer 2

The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x

How to Subtract Polynomials?

To subtract one polynomial from another, take like terms together.

Given the polynomials:

f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4

Find f(x) - g(x):

(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)

Open the bracket

9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4

Combine like terms together

4x³ + 2x² + 2x

Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x

Learn more about polynomials on:

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Related Questions

A company hauls its 1 cubic foot boxes in the truck as shown.
How many boxes can this truck carry?

Answers

Answer:

96

Step-by-step explanation:

3*4*8=96

Answer:

96

Step-by-step explanation:

Evaluate f(a+4)
pls help me w this !

Answers

im pretty sure its fa+4f?

The neighbors have $18.57 to spend on strawberry plants. A 6-pack of plants costs $2. How many packs can they buy?

Answers

Answer:

9

Step-by-step explanation:

the answer is 9 because 18 $÷2 = 9

Answer:

9 packs

Step-by-step explanation:

18.57/2=9.285

Can't buy 1.285 one so we go back to 9 which is buyable with the money there is.

An apple has a mass of 32.06 grams. What is the mass of the apple rounded to the nearest tenth of a gram?

Answers

32.1

Hope this helps! Have a nice life!

Find the Volume of the shape below.
4 ft
2 ft
2 ft

Answers

Answer:

16 ft³

Step-by-step explanation:

4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³

The answer is 16ft I just took the test

Yo 10 or 22 points I rlly need help pls pls pls help :(

Answers

Answer:

Step-by-step explanation:

Solve for x, 3x < -17 - 4 so 3x < -21 so x < -7

Since the x you are looking for is less than -7, draw an open circle on -7 (don't color it in, leave it like a donut) then darken the number line to the left of -7 and draw an arrow at the end

3x+30=180 degrees, what is the value of the letter x in this problem?

Answers

Answer:

50

Step-by-step explanation:

180-30=150/3=50

3x + 30 = 180

     -30     -30     subtract 30 on both sides, solve for 180 - 30 which is 150.

___________

3x = 150

__    ___       divide 3 on both sides, solve for 150 ÷ 3 which is 50.

3       3

x = 50, final answer

hope this helps! :)

3x 2+ 4x - 20
using grouping or an area model.

Answers

Answer:

Is the 3x a power of 2, once I get that info I'll edit my answer

Step-by-step explanation:

Write these numbers in order of size.
Start with the smallest number.
9
-3
2.
-2
Smallest

Answers

Answer:

smallest -3,-2,2,9 biggest

Answer:

-3, -2, 2, 9

Step-by-step explanation:

-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9


Read carefully and choose the name of the student who made the correct statement ..... HELPPP hurry

Answers

Phoebe is correct. The line on the graph would be vertical in the x-axis value of 12.

Help bestiess
7x=5x÷67​

Answers

Answer:

7x=5x/67

Step-by-step explanation:

HI PLEASE HELP IM KINDA CONFUSED WITH KINETIC ENERGY AND POTENTIAL ENERGY ANYONE CAN HELP?

Answers

Answer:

P

K

P

K

P

K

Step-by-step explanation:

If it's not moving, it's potential energy

If it's moving, it's kinetic energy

if the diameter of the semicircle is 6 in fid the area in terms of pi?

Answers

Answer:

i think the is 14.13.

Step-by-step explanation:

find the volume of the cylinder​

Answers

Answer:

hope help you stay happy and safe

The function y = -16t+^2 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places. ​

Answers

Answer:

The water droplet will hit the ground 1.58 seconds after it started falling.

Step-by-step explanation:

The function:

y = -16*t^2 + 40

represents the height of a water droplet t seconds after falling from an icicle.

We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.

Then we only need to solve the equation:

0 = y =  -16*t^2 + 40

0 =  -16*t^2 + 40

16*t^2 = 40

t^2 = 40/16

t = √(40/16) = 1.58

The water droplet will hit the ground 1.58 seconds after it started falling.

Which Superhero has the greater miles to second ratio
------------------------------------------------------------------------------------------
Choices are:
------------------------------------------------------------------------------------------
A) Super-Man
B) Iron-man
C)Neither they are both equivalent
------------------------------------------------------------------------------------------

Answers

Answer:

Super Man

Have a great day!

please help!! whoever gets right i’ll mark brainlist

Answers

Answer:

It's B

Step-by-step explanation:

Because 10 less than 20 mean 20 is not greater so B. ) is correct

WILL GIVE BRAINLIEST

Answers

Answer:

he right

Step-by-step explanation:

A girl is on the beach and the angle of elevation from her feet to the top of a lighthouse is 62' If the lighthouse is 30ft tall, how far away is the girl from the lighthouse? Please show

your work!

I need help plssss

Answers

Answer:

15.95 feets

Step-by-step explanation:

Given that:

Angle of elevation = 62°

Using trigonometric relation :

Tanθ = opposite / Adjacent

From the drawing attached :

Opposite = 30 feets

Distance between girl and lighthouse = d

Tan 62 = 30 / d

1.8807264 * d = 30

d = 30 / 1.8807264

d = 15.951283

d = 15.95 feets

Please help meeeeeee!!!!! ill give BRAINLIEST

Answers

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .

If k(x) = x2 and p(x) = k(x) + n, what is the value of n?

Answers

Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can start by substituting the function k(x) into the expression for p(x):

p(x) = k(x) + n

p(x) = x^2 + n

We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:

p(2) = 2² + n = 4 + n = 5

n = 5 - 4

n = 1

Therefore,

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Which of the following expressions is equivalent to 8.8.8.8.8.8?

Answers

Answer:

8^6

Step-by-step explanation:

This just means that 8 is being multiplied by itself 6 times

Answer is B
Because.

In triangle ABC, the measure of angle CAB is 80° and the measure of angle ABC is 45.5°. What is the measure of angle BCA in degrees? A 125.5°125.5 degrees B 54.5°54.5 degrees C 55.5°55.5 degrees D 64.5°

Answers

Answer:

B 54.5°

Step-by-step explanation:

Since we have a triangle,

CAB + ABC + BCA = 180 (sum of angles in a triangle)

Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have

80° + 45.5° + BCA = 180°

simplifying, we have

125.5° + BCA = 180°

collecting like terms, we have

BCA = 180° - 125.5°

BCA = 54.5°

So, the answer is B

The model represents 3 ÷ 1/5

Which multiplication can you use to check the answer?

Three squares are shown. Each square is divided into 5 fifths.
A. 3 x 1/5= 3/5
B. 15 x 1/5 = 3
C. 15 x 3/5 = 9
D. 15 x 5/3 =25

Answers

Answer:

the answer is 2

Step-by-step explanation:

The equation which represent the three squares which is divided into the 5 fifths is,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

What is a multiple of fraction?

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

A multiple of a fraction is the number which is n times of the original function.

The model represents,

[tex]3 \div 1/5[/tex]

Here, the total number of square are given is 3. These three square are then divided into the one fifth.

Thus, we get total 3 times of 5 one fifth which is equal to the entire 3 squares

.

Thus, the equation can be written for this condition as,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

Hence, the equation which represent the three squares which is divided into the 5 fifths is,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

Option B is the correct option.

Learn more about the multiple of fraction here;

https://brainly.com/question/9281754

PLEASE HELP WILL GIVE BRAIN Which could be the function of the following graph?

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2 f(x)=(x+5)3(x+1)2(x−2)2

f(x) = (x + 5)^2(x + 1)(x - 2)^3 f(x)=(x+5)2(x+1)(x−2)3

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5) f(x)=(x+5)3(x+1)2(x−2)2(x−5)

f(x) = (x + 5)(x + 1)^3(x - 2)^2

Answers

Answer:

Close options are B and D but no matching function

Step-by-step explanation:

The graphed function has:

Even degree because overall U-shapedThree x-intercepts (-5, -1, 2) There is one y-intercept (-5)

The answer options:

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2

Has degree of (3 + 2 + 2) = 7 - incorrect

f(x) = (x + 5)^2(x + 1)(x - 2)^3

Has degree of (2 + 1 + 3) = 6 - correctx- intercepts are (-5, -1, 2) - correcty- intercept is (-200) - incorrect

f(x) = (x + 5)^3(x + 1)^2(x - 2)^2(x - 5)

Has degree of (3 + 2 + 2 + 1) = 8 - correctx- intercepts are (-5, -1, 2, 5) - incorrect

f(x) = (x + 5)(x + 1)^3(x - 2)^2

Has degree of (1 + 3 + 2) = 6 - correctx- intercepts are (-5, -1, 2) - correcty- intercept is (24) - incorrect

Answer:

C

Step-by-step explanation:

Find the value of X.

Answers

In the question you will do

35 is the biggest side it’s named by hypotenuse

So you will do 35=21 to the power x +x

So after you do it it will be

X=441 -35 it will be 406 and after you finish you will do it in the calculator so

The Answer is : 20.15
Theres an easier way. Pythagorean theorem-
A^2+B^2=C^2
A and B are legs while C is the hypotenuse or slanted one.
So rearrange formula.
C^2 - A^2=B^2
1225 - 441 = B^2
784= B^2
Square root it now
28=B

What is the point-slope of y+5=-7/4(x-4)

Answers

Slope: -7/4

Point/y-intercept: (0,2)

Here are the steps and answer! It’s in the photo below! I hope this help!

how would u turn 11/25 into a decimal?

Answers

11 dived by 25 would equal 0.44

Answer:

you divide 11 by 25 and then round to the nearest hundredth

Step-by-step explanation:

11÷25= 0.44

HELP!
If the radius of the large pizza is 8 inches, what is its area in square inches?

Answers

Answer:

about 200 square inches

1. Choose the statement that describes the value of the square root of 24.
The value is between 4 and 4.5
The value is between 4.5 and 5
The value is between 5 and 5.5
The value is between 5.5 and 6

Answers

Answer:

4.5 and 5

Step-by-step explanation:

The √24 is 4.89879

to one decimal place is 4.9

Approximately 5

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