# How do you factor and solve #3x^3 + 4x^2 - 15x = 0#?

##### 1 Answer

Jun 29, 2016

#### Explanation:

Factor y by using the new AC Method (Socratic Search)

Converted trinomial:

Find p' and q' that have opposite signs (ac < 0), and that has their

sum (b = 4) and their product (c = -45).

They are; p' = -5 and q' = 9.Back to trinomial y,

Factored form of y:

Finally, the real roots of f(x) = x(3x - 5)(x + 3) are: