Question

The value of p for which the polynomial x3 + 4x2 –px + 8 is exactly divisible by (x – 2) is ___________​

Answer 1

Answer:

as (x-2=0)

x=2

p(x)=x^3+4x^2-px+8

p(2)=2^3+4*2^2-p*2+8=0

8+16-2p+8=0

-2p=-32

p=16