Question

Find the value of 'p' for which the polynomial x3+4x2-px+18 is exactly divisible by (x-2).hence factorise the polynomial

Answer 1

Let x-2=0
hence x= 2
put in p(x)= x³+4×2-px+18
(2)³ +8-p(2)+18
8+8-2p+18=0
34 -2p=0
p= 34/-2
p=-17