Question

What is the remainder when the polynomial 6x^2+11x−3 is divided by x + 2?

PLEASE HELP

Answer 1

remainder = - 1

6x² + 11x - 3 ÷ (x + 2 ) = 6x - 1 - $\frac{1}{x+2}$

Answer 2

Answer:  The required remainder is 1.

Step-by-step explanation:  We are given to find the remainder when the following polynomial is divided by (x + 2) :

$p(x)=6x^2+11x-3.$

Remainder Theorem :  If a polynomial f(x) is divided by (x - a), then the remainder is f(a).

So, for the given polynomial p(x), the remainder will be equal to p(-2).

We have

$p(-2)\\\\=6(-2)^2+11(-2)-3\\\\=24-22-3\\\\=-1.$

Thus, the required remainder is -1.