Question

The HCF of the polynomials $6(x^2-36)$ and $36(x+6)$ is

• A. $6(x+6)$
• B. $6(x-6)$
• C. $(x+6)$
• D. $(x-6)$

Answer 1

The correct option is A $6(x+6)$

First expression $6(x^2-36)$

$\Rightarrow 6(x^2-6^2)$ $[\therefore a^2-b^2=(a+b\left)\right(a-b\left)\right]$

$\Rightarrow 6(x-6)(x+6)$

second expression $36(x+6)$

$\Rightarrow 6\times 6(x+6)$

Therefore, in the two polynomials, $6(x+6)$ is the common factor.

so the required $HCF=6(x+6)$