2. Polynomials
easy

Verify whether the following are zeroes of the polynomial, indicated against them.

$p(x)=2 x+1, \,\,x=\frac{1}{2}$

Option A
Option B
Option C
Option D

Solution

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.

Standard 9
Mathematics

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