Question

If $x-1$, what is a factor of the polynomial $3x^2+mx$ then find the value of m,

• A. $2$
• B. $-2$
• C. $-3$
• D. $3$

Answer 1

The correct option is C $-3$

$p\left(x\right)={3x}^2+mx$

$(x-1)$ is a factor of $p\left(x\right)$

Using the remainder theorem, we can write

$p\left(1\right)=0$

$\Rightarrow 3{\left(1\right)}^2+m\left(1\right)=0$

$\Rightarrow 3+m=0$

$\Rightarrow m=-3$

Option C