Question

Find the zeroes of the polynomial

$x^2-5x$

Answer 1

Finding zeroes of the given polynomial:

Zeroes of A Polynomial: A real number ‘$a$’ is zero (or root) of the polynomial $p\left(x\right)$ if $p\left(a\right)=0$.

We have, $p\left(x\right)=x^2-5x$

Equating $p\left(x\right)$ equal to zero:

Now, $p\left(x\right)=0$

$$\begin{gathered} \Rightarrow x^2-5x=0 \\ \Rightarrow x(x-5)=0 \\ \Rightarrow x=0orx-5=0 \\ \Rightarrow x=0orx=5 \end{gathered}$$

Hence, $0and5$are the zeroes of the polynomial $x^2-5x$.