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Polynomial Functions — Test Answers

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21
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If f of negative 2 is equal to 0 , what are all the factors of the function f of x is equal to x cubed minus 2 x squared minus 68 x minus 120 ? Use the Remainder Theorem.

A
open paren x plus 2 close paren times open paren x plus 60 close paren
B
open paren x minus 10 close paren times open paren x plus 2 close paren times open paren x plus 6 close paren
C
open paren x minus 2 close paren times open paren x minus 60 close paren
D
open paren x plus 10 close paren times open paren x minus 2 close paren times open paren x minus 6 close paren
22
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What are the possible degrees for the polynomial function?

A
odd degrees of 5 or greater
B
even degrees of 6 or greater
C
degrees of 5 or greater
D
degrees of 6 or greater
23

According to the rational roots theorem, which is a possible root at point cap p ?

A
The root at point cap p may be 5 sevenths .
B
The root at point cap p may be 7 tenths .
C
The root at point cap p may be 2 sevenths .
D
The root at point cap p may be 10 sevenths .
24

Let A , b , and c be real numbers where A is not equal to b is not equal to c is not equal to 0 Which of the following functions could represent the graph?

A
f of x is equal to open paren x minus A close paren squared times open paren x minus b close paren times open paren x minus c close paren to the 6th power
B
f of x is equal to x squared open paren x minus A close paren squared open paren x minus b close paren to the 4th power open paren x minus c close paren
C
f of x is equal to x to the 4th power open paren x minus A close paren open paren x minus b close paren cubed open paren x minus c close paren cubed
D
f of x is equal to x cubed open paren x minus A close paren cubed open paren x minus b close paren open paren x minus c close paren squared
25

Which is a potential rational root of f of x at point cap p ?

A
The root at point cap p may be 5 thirds .
B
The root at point cap p may be 1 fifth .
C
The root at point cap p may be 3 fifths .
D
The root at point cap p may be 1 third .

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Polynomial Functions — Test Answers — Algebra II