Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:$ f(x)=x^{2}-1, x=1,-1 $

Given:

\( f(x)=x^{2}-1, x=1,-1 \)

To do: 

We have to find whether the indicated numbers are zeros of the polynomials corresponding to them.

Solution:

To find whether $x=1, -1$ are zeroes of $f(x)$ we have to check if $f(1)=0$ and $f(-1)=0$.

Therefore,

$f(1)=(1)^{2}-1$

$=1-1$

$=0$

$f(-1)=(-1)^{2}-1$

$=1-1$

$=0$

Therefore, $x=-1$ and $x=1$ are zeroes of $f(x)$.

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Updated on: 10-Oct-2022

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