Question

Check whether g(x) =x- 3x +1 is a factor of p(x) =x5 - 4x3+c2+ 3x + 1 by dividing p(x) by g(x)

Answer 1

Given :

• g(x) = x³ - 3x + 1 and p(x) = x⁵ - 4x³ + x² + 3x + 1

To Find :

• We have to find if g(x) is the factor of p(x) by dividing both the Polynomials.

Please refer to the attachment!

We got the remainder as 2, which means that g(x) is not the factor of p(x).

$\sf{Thank\:You!}$