Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=2 x+1, \,\,x=\frac{1}{2}$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=2 x+1, \,\,x=\frac{1}{2}$
If $x=\frac{1}{2}$ is a zero of polynomial $p(x)=2 x+1,$ then $p\left(\frac{1}{2}\right)$ should be $0 .$
Here, $p\left(\frac{1}{2}\right)=2\left(\frac{1}{2}\right)+1=1+1=2$
As $p\left(\frac{1}{2}\right) \neq 0$
Therefore, $x=\frac{1}{2}$ is not a zero of the given polynomial.
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