Verify in the following whether g(x) is a factor of p(x) (i). g(x) = x-2; p(x) = x⁴-x³-x²-x-2
(ii). g(x) = x+1; p(x) = 2x³+x²-2x+1

Given that,

and

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

So,

and

Now, By using Factor Theorem, Consider

So,

b

step-by-step explanation: