Question

Find whether polynomial g(x) is a factor of polynomial f(x) or, not:

f(x) = 2x³ -9x² +x +12, g(x) = 3-2x

Answer 1

We have f(x) = 2x³ -9x² +x +12 and g(x) = 3-2x

In order to find whether g(x) = 3-2x = -2(x -3/2) is a factor of f(x) or not, it is sufficient to prove that f(3/2) = 0