Question

If p(x)=2x^3-11x^2-4x-5 and g(x)=2x+1,show that g(x) is not a factor of p(x).

Answer 1

Step-by-step explanation:

Divide p(x) by g(x). if remainder is not zero then g(x) is not a factor of p(x).

(2x+1)√2x^3-11x^2-4x-5 |x^2-6x+1

-2x^3-x^2

____________

-12x^2-4x-5

12x^2+6x

____________

2x-5

-2x -1

_______

-6

________

Since the remainder is -6 so g(x) is not a factor of p(x). Hope it helps you.