The polynomial P(x)=x3−4x2−5x−42 can be rewritten as P(x)=(x−6)(x2+2x+7). What can you conclude about P(x)?

Question

There may be more than one correct answer. Select all correct answers.

When P(x) is divided by x−6, the remainder is x2+2x+7.
No factors can be identified from the rewritten expression.
When P(x) is divided by x2+2x+7, the remainder is x−6.
The binomial x−6 is a factor of P(x).
When P(x) is divided by x−6, the remainder is 0.

Answer 1

When P(x) is divided by x−6, the remainder is 0
no way

Answer 2

clearly,
The binomial x−6 is a factor of P(x).

Answer 3

what are the zeros