Question

Claudia wants to test if the binomial 3x−6 is a factor of P(x)=3x3−9x2+9x−6.

First, she evaluates P(_[blank 1]_). After simplifying correctly, she is left with a remainder of _[blank 2]_. Based on the remainder, she correctly concludes that 3x−6 _[blank 3]_ a factor of P(x).

Match the blanks in the previous three sentences with the word, number, or phrase that correctly completes each sentence.

12
−2
2
−278
−84
0
is not
is

Answer 1

see
https://www.jiskha.com/questions/1811130/what-is-the-number-of-distinct-possible-rational-roots-of-the-polynomial

Answer 2

also look at the Remainder Theorem