Answer to Question #8631 in Algebra for Muammar Mubin

Question

If (x – 2) is a factor of P(x)= ax³ +3x² - 2x + a , determine the value of a

Answer 1

if( x-2) is a factor of P(x), then P(2)=0.
P(2) = 8*a + 3*4 - 2*2 + a =
0.
Then solve the equation 8a +12 - 4 + a = 0
9a + 8 = 0
a = -8/9