Question

Factorize: $24a^3+37a^2-5a$

• A. $(a+1)(8a-1)(3a+5)$
• B. $a(8a-1)(3a+5)$
• C. $(8a-1)(3a+5)$
• D. $a(8a+1)(3a-5)$

Answer 1

The correct option is B $a(8a-1)(3a+5)$

$\Rightarrow 24a^3+37a^2-5a$
$\Rightarrow a[24a^2+37a-5]$
$\Rightarrow a[24a^2-3a+40a-5]$
$\Rightarrow a\left[3a\right(8a-1)+5(8a-1\left)\right]$
$\Rightarrow a(8a-1)(3a+5)$