Question

If $4x^2-6x-m$ is divisible by $x-3$, the value of $m$ is exact divisor of

• A. $20$
• B. $45$
• C. $9$
• D. $36$

Answer 1

The correct option is C $9$

Here $p\left(3\right)=0$

$\Rightarrow 4(3{)}^2-6\times 3-m=0$

$\Rightarrow 36-18-m=0$

$\Rightarrow m=18$

$\therefore$ Value of $m$ is exactly divisible by $9$.