AnswersAlgebra IIPolynomial Operations

Polynomial Operations — Test Answers

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If A times x is equal to 3 x plus 1 and b times x is equal to square root of x minus 4 end root , what is the domain of open paren b circ A close paren times x ?

A
left bracket 4 comma infinity right parenthesis
B
left bracket 0 comma infinity right parenthesis
C
left bracket 1 comma infinity right parenthesis
D
open paren negative infinity comma infinity close paren
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If c times x is equal to 4 x minus 2 and d times x is equal to x squared plus 5 x , what is open paren c circ d close paren times x ?

A
x squared plus 9 x minus 2
B
4 x cubed plus 18 x squared minus 10 x
C
4 x squared plus 20 x minus 2
D
16 x squared plus 4 x minus 6
43

Which expression is equivalent to open paren 5 x cubed close paren times 4 x cubed ?

A
8 comma 000 x to the 6th power
B
20 x to the 6th power
C
320 x to the 6th power
D
500 x to the 6th power
44

The volume of a rectangular prism is open paren x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4 close paren , and the area of its base is open paren x cubed plus 3 x squared plus 8 close paren If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

A
x plus 1 minus the fraction with numerator 4 and denominator x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4
B
x plus 1 minus the fraction with numerator 4 and denominator x cubed plus 3 x squared plus 8
C
x plus 1 plus the fraction with numerator 4 and denominator x to the 4th power plus 4 x cubed plus 3 x squared plus 8 x plus 4
D
x plus 1 plus the fraction with numerator 4 and denominator x cubed plus 3 x squared plus 8
46

If h of x is equal to x minus 7 and g of x is equal to x squared , which expression is equivalent to open paren g circ h close paren times 5 ?

A
5 squared minus 7
B
5 squared times open paren 5 minus 7 close paren
C
open paren 5 minus 7 close paren times x squared
D
open paren 5 minus 7 close paren squared
47

Which expression is equivalent to the fraction with numerator open paren 6 x to the 5th power z close paren cubed and denominator 4 x to the 4th power z squared ?

A
the fraction with numerator 9 x to the 11th power z to the th power and denominator 2
B
54 x to the 19th power z to the 5th power
C
54 x to the 11th power z
D
the fraction with numerator 3 x to the 4th power z squared and denominator 2

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