Question

For what value of a the polynomial g(x) = 2 x² - 3x is a factor of f(x) = x³ -2x² + 9x – 3a ?

Answer 1

Step-by-step explanation:

f(x) = x³ -2x² + 9x – 3a

g(x) = 2 x² - 3x

x(2x-3)=0

x =0 x = 3/2

f(0) = 0^3-2(0)^2+9×0-3a

0 = 0-0+0-3a

a =0