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# Find the zero of the polynomial in each of the following cases: (vii) p(x) = cx + d, c not equal 0, c, d are real numbers

4.(vii) Find the zero of the polynomial in each of the following cases:

(vii)    $p(x) = cx + d, c\neq 0, c,d$ are real numbers

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Given polynomial is  $p(x) = cx+d$

Zero of a polynomial is that value of the variable at which the value of the polynomial is obtained as 0.

Now,

$p(x)=0$

$\Rightarrow cx+d = 0$

$\Rightarrow x=-\frac{d}{c}$

Therefore,  $x=-\frac{d}{c}$  is a zero of polynomial  $p(x) = cx+d$

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