Question

If $f\left(x\right)$ be a polynomial such that $f\left(-\frac{1}{3}\right)=0$ then find one factor of $f\left(x\right)$

Answer 1

Solution-

$f\left(x\right)$ be a polynomial

then if $f\left(\frac{-1}{3}\right)=0$

are factor of $f\left(x\right)$ must be $(x+\frac{1}{3})$

which when $x$ is taken as $\frac{-1}{3}$ vanishes.