Question

What is the remainder when $13x^2+22x-10$ is divided by $(x+2)$ ?

• A. $2$
• B. $-2$
• C. $0$
• D. $-4$

Answer 1

The correct option is B $-2$

Polynomial Remainder theorem states that, when a polynomial $p\left(x\right)$ is divided by $(x-a)$, the remainder is given by $p\left(a\right)$

Now, let $p\left(x\right)=13x^2+22x-10$

Divide $p\left(x\right)$ by $x+2$

Here $a=-2$

Thus, using polynomial remainder theorem we have

$Remainder=p(-2)=13(-2{)}^2+22(-2)-10=-2$