$If twice the zero of the polynomial p(x) = 2x - 4 is equal to zero of the polynomial q(x) = 5x + a, then what is the value of a ?$

-20

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-10

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Solution

The correct option is A -20
$To find the zero of a polynomial$ ,
$we equate the polynomial to zero.$
$p (x) = 0 \Rightarrow$ $2 x - 4 = 0$
$\Rightarrow$ $x = 2$
$∴ 2 is the zero of the polynomial p (x) = 2 x - 4.$
$Given that the zero of the polynomial q (x) = 5 x + a is twice the zero of the polynomial p (x) .$
$\Rightarrow The zero of the polynomial q (x) is 4$
$\Rightarrow q (4) = 0$
$\Rightarrow 5 (4) + a = 0$
$\Rightarrow a = - 20$

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