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

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Answer 1 · 2017-01-07T21:48:05

See full factoring process below:

First, we can factor $color(red)(-3x)$ from the right side of the equation:

$y = (color(red)(-3x) xx x^2) + (color(red)(-3x) xx x) - (color(red)(-3x) xx 20)$

$y = color(red)(-3x)(x^2 + x - 20)$

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

$y = -3x(x + 5)(x - 4)$

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