How write the function y=-3x^3-3x^2+60x in factored form?

Jan 7, 2017

See full factoring process below:

Explanation:

First, we can factor $\textcolor{red}{- 3 x}$ from the right side of the equation:

$y = \left(\textcolor{red}{- 3 x} \times {x}^{2}\right) + \left(\textcolor{red}{- 3 x} \times x\right) - \left(\textcolor{red}{- 3 x} \times 20\right)$

$y = \textcolor{red}{- 3 x} \left({x}^{2} + x - 20\right)$

Now to complete the factoring we can factor the quadratic within the parenthesis:

$y = - 3 x \left(x + 5\right) \left(x - 4\right)$