Question #8631

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

Expert's answer

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

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

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