Question

Verify whether the following are the zeros of the polynomial indicated against them:

$p\left(x\right)=(x-2)(x-5);x=2,5$.

• A. True
• B. False

Answer 1

The correct option is A True

Given, $p\left(x\right)=(x-2)(x-5)$.

We know, $a$ is a zero of $f\left(x\right)$, only if $f\left(a\right)=0$.

Here, $p\left(2\right)=(2-2)(2-5)=0\times -3=0$ and

$p\left(5\right)=(5-2)(5-5)=3\times 0=0$.

Since, $p\left(2\right)=0$ and $p\left(5\right)=0$,

$\Rightarrow$ both $2$ and $5$ are zeroes of $p\left(x\right).$

Therefore, hence verified.