Question

The binomial (x-3) is a factor of the polynomial p(x)=x^3-3x^2

Answer 1

yes

Explanation:

By the factor theorem if (x - h) is a factor of p(x) then p(h) = 0, thus

p(3) = 3³ - 3(3)² = 27 - 27 = 0

Hence (x - 3) is a factor of p(x)