Question

Find the zero of the polynomial in each of the following cases.
$f\left(x\right)=px,p\ne 0$

Answer 1

Given polynomial $f\left(x\right)=px$

we know that for zero polynomial f(x)=0

$px=0$

$\frac{px}{p}=\frac{0}{p}$

$\Rightarrow x=0$ (because $p\ne 0$)

Then for value of x=0 the polynomial is zero polynomial