Answer
$7x^{3}(1+5x-2x^{2})$
Work Step by Step
The greatest common factor of $7x^{3}+35x^{4}-14x^{5}$ is $7x^{3}$.
We can use the distributive property to factor out the greatest common factor.
1. $7x^{3}+35x^{4}-14x^{5}$
2. $7x^{3}\times1+7x^{3}\times5x+7x^{3}\times-2x^{2}$
3. $7x^{3}(1+5x-2x^{2})$
