Question

1. If (x - 2) is a factor of 2x3 – x2 - px - 2
(a) find the value of p, and
(b) with the value of p, factorize the above expression completely.​

Answer 1

Answer:

Let P(x)=2x³-x²-px-2

g(x)=x-2

Now

g(x)=0

x-2=0

x=2

Now

P(2)=0

2(2)³-(2)²-p(2)-2=0

16-4-2p-2=0

10-2p=0

-2p=-10( both side - then it cancel)

p=10/2

p=5