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Polynomial Operations — Test Answers

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Which expression is equivalent to the fraction with numerator open paren 5 4th power of g plus 5 g cubed minus 17 g squared plus 6 g close paren minus open paren 3 4th power of g plus 6 g cubed minus 7 g squared minus 12 close paren and denominator g plus 2 ?

A
2 4th power of g plus 11 g cubed minus 24 g squared plus 6 g minus 12
B
2 g cubed minus 5 g squared plus 6
C
2 g cubed minus 5 g squared plus 18
D
2 4th power of g minus g cubed minus 10 g squared plus 6 g plus 12
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The volume of a cylinder is given by the formula cap v is equal to pi r squared h , where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius open paren x plus 8 close paren and height open paren 2 x plus 3 close paren Which expression represents the volume of the can?

A
2 pi x cubed plus 35 pi x squared plus 176 pi x plus 192 pi
B
4 pi x cubed plus 44 pi x squared plus 105 pi x plus 72 pi
C
2 pi x cubed plus 35 pi x squared plus 80 pi x plus 48 pi
D
pi x cubed plus 19 pi x squared plus 112 pi x plus 192 pi
23

Which expression is a sum of cubes?

A
negative 64 x to the 6th power y to the 12th power plus 125 x to the 16th power y cubed
B
32 x to the 6th power y to the 12th power plus 125 x to the 9th power y cubed
C
64 x to the 6th power y to the 12th power plus 125 x to the 9th power y cubed
D
negative 32 x to the 6th power y to the 12th power plus 125 x to the 16th power y cubed
24

What is the cube root of negative 1 comma 000 p to the 12th power q cubed ?

A
negative 10 p to the 4th power q
B
10 p to the 4th power
C
10 p to the 4th power q
D
negative 10 p to the 4th power
25

What are the factors of m squared minus 6 m plus 6 m minus 36 ?

A
open paren m minus 6 close paren times open paren m plus 6 close paren
B
open paren m minus 4 close paren times open paren m plus 9 close paren
C
open paren m minus 2 close paren times open paren m plus 18 close paren
D
open paren m minus 3 close paren times open paren m plus 3 close paren

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Polynomial Operations — Test Answers — Algebra II