Question

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

Answer 1

See full factoring process below:

Explanation:

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)`