If a is the zero of the polynomial $p (x) = 3 x - 9$ and $2 a$ is the zero of the polynomial $q (x) = x - b$ , what is the value of $b$ ?

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Solution

The correct option is B 6
a is the zero of the polynomial $3 x - 9$
$\Rightarrow$ $p (a) = 0$
$\Rightarrow$ $3 (a) - 9 = 0$
$\Rightarrow$ $3 (a) = 9$
$\Rightarrow$ $a = 3$

Given $2 a = 2 (3) = 6$ is the zero of $q (x) = x - b$

$\Rightarrow$ $q (6) = 0$
$\Rightarrow$ $(6) - b = 0$
$\Rightarrow$ $b = 6$

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