Using the remainder
posted by Jenn .
use the remainder theorem to find the remainder when f(x) is divided by x  3. Then use the factor theorem to determine whether x3 is a factor of f(x) f(x)=2x^310x^2+11x+12

Given f(x)=2x^310x^2+11x+12
f(3)=2(3)^310(3)^2+11(3)+12 = 9
because f(3)not equal to 0
Therefore x3 is not a factor of f(x)