Question

Find the zero of the polynomials in the following case: $p\left(x\right)=ax,a\ne 0$.

Answer 1

The given polynomial is $p\left(x\right)=ax,a\ne 0$.

We know that the zeroes of a polynomial are evaluated by equating them with zero.

$\therefore p\left(x\right)=0$

$\Rightarrow ax=0$

$\Rightarrow$ $x=0$ $\left[\because a\ne 0\right]$

Hence, the zero of this polynomial is $0$.