Question

Verify whether the following are zeroes of the polynomial, indicated against them: $\mathrm{p}\left(\mathrm{x}\right)=5\mathrm{x}–\mathrm{\pi },\mathrm{x}=\frac{4}{5}$

Answer 1

We have,

$\mathrm{p}\left(\mathrm{x}\right)=5\mathrm{x}–\mathrm{\pi },\mathrm{x}=\frac{4}{5}$

Put $\mathrm{x}=\frac{4}{5}$ in the given polynomial $\mathrm{p}\left(\mathrm{x}\right)=5\mathrm{x}–\mathrm{\pi }$, we get

$$\begin{gathered} \mathrm{p}\left(\frac{4}{5}\right)=5\left(\frac{4}{5}\right)–\mathrm{\pi } \\ \Rightarrow \mathrm{p}\left(\frac{4}{5}\right)=4–\mathrm{\pi }\ne 0 \end{gathered}$$

Hence, $\mathrm{x}=\frac{4}{5}$ is not a zero of polynomial $\mathrm{p}\left(\mathrm{x}\right)=5\mathrm{x}–\mathrm{\pi }$.