Question

If the polynomial $f\left(x\right)$ is such that $f(-43)=0$, which of the following is the factor of $f\left(x\right)$?

• A. $x-43$
• B. $x$
• C. $x-7$
• D. $x+43$

Answer 1

The correct option is D $x+43$

$f(-43)=0$
$\Rightarrow -43$ is root of $f\left(x\right)$

$\Rightarrow (x+43).g\left(x\right)=f\left(x\right)$ for some function $g\left(x\right)$

$\Rightarrow (x+43)$ is the factor of $f\left(x\right)$