Determine $m$ so that $4 x^{2} - 6 x + m$ is divisible by $x - 3$ . The obtained value $m$ , is an exact divisor of :

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Solution

The correct option is D 36
$4 x^{2} - 6 x + m$ is divisible by $x - 3$
So,
If $4 x^{2} - 6 x + m$ is divisible by $x - 3$ then
$m + 18 = 0$
$m = - 18$
So, $- 18$ is an exact divisor of $36$ .

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