Question

If $x+3$ is a factor of $3x^2+kx+6$, then the value of $k$ is

• A. 11.00
• B. 11.0
• C. 11

Answer 1

Answer: (A), (B), (C)

Let $p\left(x\right)=3x^2+kx+6$
Given, $x+3$ is a factor of $p\left(x\right)$.
$\Rightarrow p(-3)=0$
$\Rightarrow p(-3)=3(-3{)}^2+k(-3)+6=0$
$\Rightarrow 3k=33$
$\Rightarrow k=11$