Question

A number a is a root of P(x) if and only if the remainder, when dividing the polynomial by x - a, equals zero. True or False?

Answer 1

true

Answer 2

Thanks @dumbcow

Answer 3

yw :)

reference
http://en.wikipedia.org/wiki/Polynomial_remainder_theorem

Answer 4

This is called Factor Theorem.Let p(x) be a polynomial and If p(a) = 0, then (x-a) is a factor.