Question

verify (x-3) is a factor of polynomial
$x ^{2} + x - 12$
​

Answer 1

Answer:

As p(3) =0 < hence it show that reminder is zero and it is a factor.

Step-by-step explanation:

Let us consider $p(x)=x^{2} +x-12$

As $(x-3)$ is a factor.

So,

        $x-3=0\\ \\ x=3$

If p(3) is equal to 0 then it is a factor.

$p(x)=x^{2} +x-12\\ \\ p(3)=3^{2} +3-12\\ \\ p(3)=9+3-12\\ \\ p(3)=0$