Question

Janis divided the two polynomials shown:
4x+2(4x^2-10x-6)

What is the quotient?

A: x+3
B: x-3
C: x-2 + -2/4x+2
D: x-2+-10/4x+2

Answer 1

The polynomial 4x^2-10x-6 can be factored to: (4x+2)(x-3)
So, if we divide this factored form by 4x+2, we have:

(4x+2)(x-3) / (4x+2)

We can cancel 4x+2 which leaves behind only x-3.

Thus, the answer is B: x-3