Question

State whether True or False, if the following are zeros of the polynomial, indicated against them:

$p\left(x\right)=(x+1)(x-2),x=-1,2$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, $p\left(x\right)=(x+1)(x-2)$.

On substituting $x=-1$ in $p\left(x\right)$, we get,
$p(-1)=(-1+1)(-1-2)=0$.

Again on substituting $x=2$ in $p\left(x\right)$, we get,
$p\left(2\right)=(2+1)(2-2)=0$.

Since $p\left(x\right)=0$ at $x=-1,2$ .

Therefore, $x=-1,2$ are zeros of polynomial $p\left(x\right)=(x+1)(x-2)$.

That is, it is true and option $A$ is correct.