AnswersAlgebra IIPolynomial Operations

Practice Test Answers

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

A
29 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
negative m n minus 34 m plus 9 n
3

For which pair of functions is open paren f circ g close paren times x is equal to 12 x ?

A
f of x is equal to 6 x squared and g of x is equal to 2 over x
B
f of x is equal to 3 minus 4 x and g of x is equal to 16 x minus 3
C
f of x is equal to square root of x and g of x is equal to 144 x
D
f of x is equal to 4 x and g of x is equal to 3 x
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 8
C
4 6th power of g plus 16
D
4 9th power of g plus 16 g cubed plus 8
5

Which expression is equivalent to 4 minus open paren 2 m minus 3 close paren ?

A
negative 8 m plus 12
B
4 minus 2 m minus 3
C
4 minus 2 m plus 3
D
negative 8 m plus 3
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 squared plus x minus 3
B
2 x to the 4th power minus 3 x cubed minus 11 halves
C
2 x squared plus x minus 3 minus the fraction with numerator 6 and denominator x squared minus 2 x plus 1
D
2 x squared minus x
7

Which expression is equivalent to 9 x minus open paren x minus 8 close paren times open paren x plus 1 close paren plus 10 x ?

A
8 x squared plus 26 x plus 8
B
negative x squared plus 19 x plus 8
C
8 x squared plus 10 x plus 8
D
negative x squared plus 26 x plus 8
8

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
24 x to the 13th power y to the 7th power
B
144 x to the 16th power y to the 12th power
C
36 x to the 13th power y to the 7th power
D
36 x to the 28th power y to the 6th power
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
11

Which expression is equivalent to the fraction with numerator 15 A to the 8th power b to the 4th power and denominator 5 A to the 4th power b ?

A
3 A to the 4th power b cubed
B
10 A to the 4th power b to the 4th power
C
10 A to the 4th power b cubed
D
3 A squared b to the 4th power
12

Which expression is equivalent to c d to the 5th power ?

A
c to the 5th power minus d to the 5th power
B
the fraction with numerator c to the 5th power and denominator d to the 5th power
C
c to the 5th power d to the 5th power
D
c to the 5th power plus d to the 5th power

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