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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