Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=3 x+1, \,\,x=-\,\frac{1}{3}$
Verify whether the following are zeroes of the polynomial, indicated against them.
$p(x)=3 x+1, \,\,x=-\,\frac{1}{3}$
If $x=\frac{-1}{3}$ is a zero of given polynomial $p(x)=3 x+1,$ then $p\left(-\frac{1}{3}\right)$ should be $0 .$
Here, $p\left(\frac{-1}{3}\right)=3\left(\frac{-1}{3}\right)+1=-1+1=0$
Therefore, $x=\frac{-\,1}{3}$ is a zero of the given polynomial.
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