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Polynomial Expressions — Test Answers

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A 5 inch times 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2 x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

A
8 x plus 24
B
4 x squared plus 24 x plus 35
C
2 x to the 4th power plus 24
D
4 x plus 12
2
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What is the product? 4 x times open paren negative 3 x to the 8th power close paren times open paren negative 7 x cubed close paren

A
84 x to the 12th power
B
84 x to the 24th power
C
negative 84 x to the 24th power
D
negative 84 x to the 12th power
3

The volume of a cylinder is given by the formula cap v is equal to pi r squared h , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius open paren x plus 8 close paren and height open paren 2 x plus 3 close paren Which expression represents the volume of the can?

A
pi x cubed plus 19 pi x squared plus 112 pi x plus 192 pi
B
2 pi x cubed plus 35 pi x squared plus 80 pi x plus 48 pi
C
2 pi x cubed plus 35 pi x squared plus 176 pi x plus 192 pi
D
4 pi x cubed plus 44 pi x squared plus 105 pi x plus 72 pi
4

Marcus finds that open paren 3 x squared minus 2 y squared plus 5 x close paren plus open paren 4 x squared plus 12 y squared minus 7 x close paren is equal to 7 x squared minus 10 y squared minus 2 x What error did Marcus make?

A
He combined the terms 3 x squared and 4 x squared incorrectly.
B
He subtracted the polynomials instead of adding.
C
He combined the terms 5 x and negative 7 x incorrectly.
D
He combined the terms negative 2 y squared and 12 y squared incorrectly.
5

Which polynomial is in standard form?

A
6 x cubed plus 5 x minus 3 x squared plus 2
B
2 x squared plus 6 x cubed minus 9 x plus 12
C
2 x cubed plus 4 x squared minus 7 x plus 5
D
1 plus 2 x minus 8 x squared plus 6 x cubed
6

The degree of the polynomial 10 x squared plus 2 x to the m th power y minus 4 y is 3 What is the value of m ?

A
4
B
2
C
1
D
3
7

Which polynomial is in standard form?

A
19 x plus 6 x squared plus 2
B
2 x to the 4th power plus 6 plus 24 x to the 5th power
C
6 x squared minus 9 x cubed plus 12 x to the 4th power
D
23 x to the 9th power minus 12 x to the 4th power plus 19
8

What is the product? open paren 7 x squared close paren times open paren 2 x cubed plus 5 close paren times open paren x squared minus 4 x minus 9 close paren

A
14 x to the 6th power minus 56 x to the 5th power minus 91 x to the 4th power minus 140 x cubed minus 315 x squared
B
14 x to the 5th power minus x to the 4th power minus 46 x cubed minus 58 x squared minus 20 x minus 45
C
14 x to the 7th power minus 56 x to the 6th power minus 126 x to the 5th power plus 35 x to the 4th power minus 140 x cubed minus 315 x squared
D
14 x to the 12th power minus 182 x to the 6th power plus 35 x to the 4th power minus 455 x squared
9

Which polynomial is in standard form?

A
x cubed y squared minus 3 x squared y minus 9 x to the 4th power y cubed plus 11 x
B
5 x to the 7th power y squared plus 7 x to the 6th power y to the 5th power minus 14 x cubed y to the 7th power plus 51 x squared y to the 9th power
C
8 x to the 5th power minus 5 y to the 4th power minus 2 x y to the 5th power plus x squared y
D
2 x y cubed plus 3 x cubed y to the 4th power minus 4 x to the 4th power y to the 5th power plus 9 x to the 5th power y to the 6th power
10

Which expression is equivalent to open paren 4 x to the 5th power plus 11 close paren squared ?

A
16 x to the 10th power plus 88 x to the 5th power plus 121
B
16 x to the 25th power plus 88 x to the 5th power plus 121
C
16 x to the 5th power plus 121
D
16 x to the 10th power plus 121
11

What is the product? open paren y squared plus 3 y plus 7 close paren times open paren 8 y squared plus y plus 1 close paren

A
8 y to the 4th power plus 24 y cubed plus 60 y squared plus 10 y plus 7
B
8 y to the 4th power plus 25 y cubed plus 4 y squared plus 10 y plus 7
C
8 y to the 4th power plus 25 y cubed plus 60 y squared plus 10 y plus 7
D
8 y to the 4th power plus 25 y cubed plus 60 y squared plus 7 y plus 7
12

What is the difference of the polynomials? open paren 12 x squared minus 11 y squared minus 13 x close paren minus open paren 5 x squared minus 14 y squared minus 9 x close paren

A
7 x squared minus 3 y squared minus 4 x
B
17 x squared minus 25 y squared minus 22 x
C
7 x squared plus 3 y squared minus 4 x
D
7 x squared minus 25 y squared minus 22 x
13

What is the difference of the polynomials? open paren m squared n squared minus 7 close paren minus open paren m n plus 4 close paren

A
m squared n squared minus m n minus 11
B
m squared n squared minus m n minus 3
C
m n minus 11
D
m n plus 3
14

What is the degree of 5 x cubed plus 3 x squared minus 4 x plus 1 ?

A
5
B
3
C
4
D
6
15

The missing term in the following polynomial has a degree of 5 and a coefficient of 16 square plus 13 x to the 6th power minus 11 x cubed minus 9 x squared plus 5 x minus 2 Which statement best describes the polynomial?

A
It is in standard form because the coefficients are in order from highest to lowest.
B
It is in standard form because the exponents are in order from highest to lowest.
C
It is not in standard form because the degree of the first term is not greater than six.
D
It is not in standard form because the degree of the first term should be equal to zero.
16

What expression is equivalent to open paren 5 z squared plus 3 z plus 2 close paren squared ?

A
5 z to the 4th power plus 3 z squared plus 4
B
5 z to the 4th power plus 9 z squared plus 4
C
25 z to the 4th power plus 30 z cubed plus 19 z squared plus 12 z plus 4
D
25 z to the 4th power plus 30 z cubed plus 29 z squared plus 12 z plus 4
17

Which expression is equivalent to open paren 3 x squared minus 7 close paren ?

A
open paren 2 x squared minus 11 close paren minus open paren x squared plus 4 close paren
B
open paren 5 x squared minus 6 close paren minus open paren 2 x squared minus 1 close paren
C
open paren 15 x squared plus 8 close paren minus open paren 18 x squared plus 1 close paren
D
open paren 10 x squared minus 4 close paren minus open paren 7 x squared plus 3 close paren
18

Which polynomial is in standard form?

A
13 x to the 5th power plus 11 x minus 6 x squared plus 5
B
12 x to the 5th power minus 6 x squared minus 9 x plus 12
C
7 x to the 7th power plus 14 x to the 9th power minus 17 x plus 25
D
9 plus 2 x minus 8 x to the 4th power plus 16 x to the 5th power
19

Which statement best describes the polynomial? 13 y to the 8th power minus 4 y to the 7th power plus 3 y

A
It is in standard form because the coefficients cannot be further simplified.
B
It is in standard form because the coefficients are in order from highest to lowest.
C
It is in standard form because the exponents are in order from highest to lowest.
D
It is in standard form because there is no constant.
20

What is the missing coefficient?

Answer:

4

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