Question

Find the H.C.F of $21x(x^2-1)$ and $3x^3(x+1)$

Answer 1

Let $p\left(x\right)=21x(x^2-1)=3\times 7\times x(x+1)(x-1)$

and

$q\left(x\right)=3x^3(x+1)=3\times x\times x\times x(x+1)$

The common factor of $p\left(x\right)$ and $q\left(x\right)$ $=3x(x+1)$

$\therefore$ H.C.F of $p\left(x\right)$ and $q\left(x\right)$ is$=3x(x+1)$