AnswersAlgebra IIPolynomial Operations

Practice Test Answers

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

A
open paren 2 x minus 5 close paren times open paren 3 x plus 1 close paren
B
open paren 2 x minus 1 close paren times open paren 3 x minus 5 close paren
C
open paren 2 x plus 5 close paren times open paren 3 x minus 1 close paren
D
open paren 2 x plus 1 close paren times open paren 3 x plus 5 close paren
4

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

A
4 6th power of g plus 16 g cubed plus 16
B
4 6th power of g plus 16
C
4 6th power of g plus 8
D
4 9th power of g plus 16 g cubed plus 8
5

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 9 n
B
negative m n plus 10 m plus 5 n
C
negative m n minus 34 m plus 5 n
D
29 m n minus 34 m plus 9 n
6

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

What is the ninth term in the binomial expansion of open paren x minus 2 y close paren to the 13th power ?

A
negative 41 comma 184 x to the 8th power y to the 5th power
B
negative 329 comma 472 x to the 5th power y to the 8th power
C
41 comma 184 x to the 8th power y to the 5th power
D
329 comma 472 x to the 5th power y to the 8th power
8

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 squared plus x minus 3
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 minus x
D
2 x to the 4th power minus 3 x cubed minus 11 halves
9

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
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
B
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
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 4 y plus open paren negative 8 z squared close paren close bracket plus 3 z plus open paren negative 5 z close paren
10

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
3 x open paren 4 y minus 3 close paren minus 2 times open paren 4 y plus 3 close paren
C
negative 6 x open paren 4 y minus 3 close paren open paren 4 y minus 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

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Practice Test Answers — Algebra II