Verify whether the indicated numbers are zeros of the polynomials corresponding to them in the following cases:$ f(x)=l x+m, x=-\frac{m}{l} $
Given:
\( f(x)=l x+m, x=-\frac{m}{l} \)
To do:
We have to find whether the indicated numbers are zeros of the polynomials corresponding to them.
Solution:
To find whether $x=-\frac{m}{l}$ is a zero of $f(x)$ we have to check if $f(-\frac{m}{l})=0$
Therefore,
$f(-\frac{m}{l})=l \times(-\frac{m}{l})+m$
$=-m+m$
$=0$
Therefore, $x=-\frac{m}{l}$ is the zero of $f(x)$.
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