What it means that [If x is a factor of p(x), what is the value of k?] I can't understand [x is a factor of p(x)] and how i solve this question.

Explanation:

Given

x is a factor

Required

Solve for k

x is a factor means that the polynomial can be divided successfully by x.

In other words, x is a zero of the polynomial.

i.e.

and

Substitute 0 for x in P(x)

Substitute 0 for P(x)

Collect Like Terms

Divide both sides by 5

answer; /// the above statement is (true) correct