AnswersAlgebra IPolynomial Expressions

Practice Test Answers

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Which monomial is a perfect cube?

A
8 x to the 8th power
B
1 x to the 10th power
C
27 x to the 15th power
D
9 x to the 9th power
3

Miguel stated that any monomial can be a cube root. Sylvia disagreed and said that a monomial cube root must have exponents divisible by 3. Who is correct, and why?

A
Miguel is correct. Any monomial can be a perfect cube root because, when it is cubed, the variables will have exponents divisible by 3.
B
Sylvia is correct. Any variable term, when it is cubed, always has an exponent divisible by 3.
C
Miguel is correct. Sylvia confused the perfect square root with the perfect cube root.
D
Sylvia is correct. In order for the cube to have exponents that are divisible by 3, the cube root has to be divisible by 3.
4

Which polynomial is prime?

A
x squared plus x plus 1
B
x squared minus x minus 2
C
x squared minus 12 x plus 11
D
x squared plus 2 x minus 8
5

What is the difference of the two polynomials? open paren 7 y squared plus 6 x y close paren minus open paren negative 2 x y plus 3 close paren

A
7 y squared plus 4 x y plus 3
B
7 y squared plus 8 x y plus 3
C
7 y squared plus 4 x y minus 3
D
7 y squared plus 8 x y minus 3
7

Which is equivalent to open paren negative 2 m plus 5 n close paren squared , and what type of special product is it?

A
4 m squared plus 25 n squared ; a perfect square trinomial
B
4 m squared plus 25 n squared ; the difference of squares
C
4 m squared minus 20 m n plus 25 n squared ; a perfect square trinomial
D
4 m squared minus 20 m n plus 25 n squared ; the difference of squares
8

Which polynomial has factors of 4 x negative 7 and x plus 4 ?

A
3 x squared plus x negative 3
B
3 x squared minus 7 x negative 3
C
4 x squared negative 23 x negative 28
D
4 x squared plus 9 x negative 28
9

Which terms could be used as the last term of the given expression to create a polynomial written in standard form? Choose three correct answers. negative 5 x squared y to the 4th power plus 9 x cubed y cubed plus underline

A
negative the fraction with numerator x to the 4th power and denominator 9
B
y to the 5th power
C
x to the 5th power
D
negative 4 x to the 4th power y to the 5th power
E
6 x to the 4th power y
F
negative x y to the 5th power
10

The polynomial 8 x squared minus 8 x plus 2 minus 5 plus x is simplified to 8 x squared minus g x minus h What are the value of g and h ?

A
g is equal to 7 and h is equal to 3
B
g is equal to 9 and h is equal to negative 3
C
g is equal to negative 9 and h is equal to 7
D
g is equal to negative 7 and h is equal to 7
11

Which diagram represents the factors of m squared minus 10 m plus 16 ?

A
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 8' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 8 m' Row 3: Column 1, '2'; Column 2, '2 m'; Column 3, '16'
B
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 2' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 2 m' Row 3: Column 1, 'negative 8'; Column 2, 'negative 8 m'; Column 3, '16'
C
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 6' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 6 m' Row 3: Column 1, '4'; Column 2, '4 m'; Column 3, '16'
D
Table with 3 columns and 3 rows.Row 1: Column 1, empty; Column 2, 'm'; Column 3, 'negative 4' Row 2: Column 1, 'm'; Column 2, 'm squared'; Column 3, 'negative 4 m' Row 3: Column 1, 'negative 6'; Column 2, 'negative 6 m'; Column 3, '16'
12

What is the factored form of the polynomial? z squared minus 10 z plus 25

A
open paren z plus 5 close paren times open paren z plus 5 close paren
B
open paren z minus 2 close paren times open paren z plus 5 close paren
C
open paren z minus 5 close paren times open paren z minus 5 close paren
D
open paren z plus 2 close paren times open paren z minus 5 close paren
14

What is the polynomial 3 y squared plus open paren y plus 7 close paren squared minus 15 after it has been fully simplified and written in standard form?

A
4 y squared plus 14 y plus 34
B
4 y to the 4th power plus 34
C
4 y squared plus 34
D
3 y squared plus y plus 34
15

Which is true about the polynomial y squared minus 3 y plus 12 ?

A
It is a trinomial with a degree of 2 .
B
It is a binomial with a degree of 2 .
C
It is a trinomial with a degree of 3 .
D
It is a binomial with a degree of 3 .
19

Which expression is equivalent to 64 minus 9 x squared ?

A
32 squared minus 3 x squared
B
8 squared plus open paren negative 3 x close paren squared
C
32 squared plus open paren negative 3 x close paren squared
D
8 squared minus 3 x squared
20

What is the product? open paren x plus 3 close paren times open paren 2 x minus 1 close paren

A
2 x squared minus 3
B
2 x squared plus 5 x minus 3
C
2 x squared plus 6 x minus 3
D
2 x squared plus 6 x

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