if a polynomial is divided by (x-a) and the remainder equals zero, then (x-a) is a factor of the polynomial

True.

Step-by-step explanation:

This is the basis for polynomial division/remainder theorem.

Given a polynomial p(x) and a divisor (x - a), if p(a) = 0, then the expression factors in perfectly.

Likewise, if the remainder in p(x)/(x-a) = 0, then the expression factors in perfectly.

I hope this helps!

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i ran through it by the other answer is wrong