AnswersMathematics IIIOperating with Polynomials

Practice Test Answers

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1
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What is the completely factored form of 6 x squared minus 13 x minus 5 ?

A
open paren 2 x plus 1 close paren times open paren 3 x plus 5 close paren
B
open paren 2 x plus 5 close paren times open paren 3 x minus 1 close paren
C
open paren 2 x minus 5 close paren times open paren 3 x plus 1 close paren
D
open paren 2 x minus 1 close paren times open paren 3 x minus 5 close paren
2
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Which polynomial is in standard form?

A
negative 16 x squared minus 9 x plus 12
B
negative 7 x to the 7th power plus 9 x to the 9th power minus 11 x
C
2 x minus 8 x to the 4th power plus 16 x to the 5th power
D
15 x minus 6 x squared plus 3
3

The degree of the polynomial x plus y squared minus 7 x y minus 6 w to the k th power z squared is 10 What is the value of k ?

A
8
B
3
C
10
D
5
4

What is the completely factored form of 12 x y minus 9 x minus 8 y plus 6 ?

A
open paren 3 x minus 2 close paren times open paren 4 y minus 3 close paren
B
negative 6 x open paren 4 y minus 3 close paren open paren 4 y minus 3 close paren
C
3 x open paren 4 y minus 3 close paren minus 2 times open paren 4 y plus 3 close paren
D
open paren 3 x minus 2 close paren times open paren 4 y minus 3 close paren times open paren 4 y minus 3 close paren
5

Which expression is equivalent to open paren 2 g cubed plus 4 close paren squared ?

A
4 6th power of g plus 8
B
4 6th power of g plus 16
C
4 6th power of g plus 16 g cubed plus 16
D
4 9th power of g plus 16 g cubed plus 8
6

What is the quotient of open paren 2 x to the 4th power minus 3 x cubed minus 3 x squared plus 7 x minus 3 close paren divided by open paren x squared minus 2 x plus 1 close paren ?

A
2 x to the 4th power minus 3 x cubed minus 11 halves
B
2 x squared plus x minus 3 minus the fraction with numerator 6 and denominator x squared minus 2 x plus 1
C
2 x squared plus x minus 3
D
2 x squared minus x
7

Which expression is equivalent to open paren 4 x cubed y to the 5th power close paren times open paren 3 x to the 5th power y close paren squared ?

A
36 x to the 13th power y to the 7th power
B
24 x to the 13th power y to the 7th power
C
144 x to the 16th power y to the 12th power
D
36 x to the 28th power y to the 6th power
8

What is the remainder when open paren 3 x cubed minus 2 x squared plus 4 x minus 3 close paren is divided by open paren x squared plus 3 x plus 3 close paren ?

A
3 x minus 11
B
28 x plus 30
C
28 x minus 36
D
30
9

Subtract 15 m n minus 22 m plus 2 n from 14 m n minus 12 m plus 7 n

A
negative m n minus 34 m plus 5 n
B
negative m n minus 34 m plus 9 n
C
negative m n plus 10 m plus 5 n
D
29 m n minus 34 m plus 9 n
10

Which expression shows the sum of the polynomials with like terms grouped together? open paren 8 x plus 3 z minus 8 z squared close paren plus open paren 4 y minus 5 z close paren

A
8 x plus 4 y plus open bracket 3 z plus open paren negative 8 z squared close paren plus open paren negative 5 z close paren close bracket
B
open bracket 8 x plus 4 y plus open paren negative 8 z squared close paren close bracket plus 3 z plus open paren negative 5 z close paren
C
8 x plus 4 y plus open paren negative 8 z squared close paren plus open bracket 3 z plus open paren negative 5 z close paren close bracket
D
open bracket 8 x plus open paren negative 8 z squared close paren close bracket plus 4 y plus open bracket 3 z plus open paren negative 5 z close paren close bracket

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