AnswersAlgebra IPolynomial Expressions

Polynomial Expressions — Test Answers

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Which unit tiles are needed to complete the factorization?

A
4 positive unit tiles
B
3 positive unit tiles
C
3 negative unit tiles
D
4 negative unit tiles
3

Which product should Tomas choose?

A
open paren 2 x plus y close paren times open paren 4 x squared plus 2 x y minus y squared close paren
B
open paren 2 x plus y close paren times open paren 2 x squared plus 2 x y minus y squared close paren
C
open paren 2 x plus y close paren times open paren 4 x squared minus 2 x y plus y squared close paren
D
open paren 2 x plus y close paren times open paren 2 x squared minus 2 x y plus y squared close paren
4

What is the difference of the polynomials? open paren 8 r to the 6th power s cubed minus 9 r to the 5th power s to the 4th power plus 3 r to the 4th power s to the 5th power close paren minus open paren 2 r to the 4th power s to the 5th power minus 5 r cubed s to the 6th power minus 4 r to the 5th power s to the 4th power close paren

A
6 r to the 6th power s cubed minus 4 r to the 5th power s to the 4th power plus 7 r to the 4th power s to the 5th power
B
8 r to the 6th power s cubed minus 5 r to the 5th power s to the 4th power plus r to the 4th power s to the 5th power plus 5 r cubed s to the 6th power
C
6 r to the 6th power s cubed minus 13 r to the 5th power s to the 4th power minus r to the 4th power s to the 5th power
D
8 r to the 6th power s cubed minus 13 r to the 5th power s to the 4th power plus r to the 4th power s to the 5th power minus 5 r cubed s to the 6th power
5

Which monomial is a perfect cube?

A
64 x to the 6th power
B
32 x to the 12th power
C
27 x to the 8th power
D
16 x to the 6th power
7

The expression y squared minus 10 y plus 24 has a factor of open paren y minus 4 close paren What is another factor of y squared minus 10 y plus 24 ?

A
open paren y minus 8 close paren
B
open paren y minus 20 close paren
C
open paren y minus 14 close paren
D
open paren y minus 6 close paren
8

Which shows one way to determine the factors of 4 x cubed plus x squared minus 8 x minus 2 by grouping?

A
4 x squared open paren x plus 2 close paren minus 1 times open paren x plus 2 close paren
B
x squared times open paren 4 x minus 1 close paren plus 2 times open paren 4 x minus 1 close paren
C
4 x squared open paren x minus 2 close paren minus 1 times open paren x minus 2 close paren
D
x squared times open paren 4 x plus 1 close paren minus 2 times open paren 4 x plus 1 close paren
10

Which are factors of x squared minus 4 x minus 5 ? Choose two correct answers.

A
open paren x plus 5 close paren
B
open paren x minus 4 close paren
C
open paren x minus 5 close paren
D
open paren x plus 1 close paren
E
open paren x minus 2 close paren
11

Which is true about the polynomial negative 3 x y squared plus 5 x squared y ?

A
It is a binomial with a degree of 3 .
B
It is a binomial with a degree of 2 .
C
It is a trinomial with a degree of 3 .
D
It is a trinomial with a degree of 2 .
13

What is the factored form of the polynomial? x squared minus 16 x plus 48

A
open paren x minus 4 close paren times open paren x minus 12 close paren
B
open paren x plus 4 close paren times open paren x plus 12 close paren
C
open paren x plus 6 close paren times open paren x plus 8 close paren
D
open paren x minus 6 close paren times open paren x minus 8 close paren
14

Which algebraic expression is a polynomial with a degree of 4 ?

A
9 x to the 4th power minus x cubed minus x over 5
B
x to the 5th power minus 6 x to the 4th power plus 14 x cubed plus x squared
C
5 x to the 4th power plus square root of 4 x
D
2 x to the 4th power minus 6 x to the 4th power plus 14 over x
15

Factor x cubed minus 7 x raised to the 2 power minus 5 x plus 35 by grouping. What is the resulting expression?

A
open paren x squared plus 5 close paren times open paren x minus 7 close paren
B
open paren x squared minus 5 close paren times open paren x minus 7 close paren
C
open paren x squared minus 7 close paren times open paren x plus 5 close paren
D
open paren x squared minus 7 close paren times open paren x minus 5 close paren
16

Which monomials are perfect squares? Choose three correct answers.

A
25 x to the 12th power
B
6 x squared
C
9 x to the 8th power
D
17 x to the 9th power
E
36 x to the 16th power
17

Which expression is equivalent to cube root of 125 x to the 6th power y to the 15th power z cubed ?

A
5 x squared y to the 5th power z
B
25 x squared y to the 5th power z
C
25 x squared y cubed z
D
5 x cubed y cubed z
19

Which terms could have a greatest common factor of 5 m squared n squared ? Choose two correct answers.

A
24 m cubed n to the 4th power
B
10 m to the 4th power n
C
m to the 5th power n to the 5th power
D
15 m squared n squared
E
5 m to the 4th power n cubed
20

Which is true regarding Adi’s use of algebra tiles?

A
The signs on some of the products are incorrect.
B
Some of the products do not show the correct powers of x .
C
She did not represent the two original factors correctly on the headers.
D
She used the algebra tiles correctly.

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