4x3 + 10x² - 6x?

Completely factored

2x (2x-1) (x+3)

Step-by-step explanation:

4x^3 + 10x² - 6x

Factor out 2x

2x (2x^2 + 5x - 3)

Factor inside the parentheses

2x (2x-1) (x+3)

2x (2x-1) (x+3)

Step-by-step explanation:

4x³ + 10x² - 6x

4x³ = 2x² * (2x) 10x² = 5x * (2x) 6x = 3 * (2x)

here 2x is a common factor then we can pull it out:

4x3 + 10x² - 6x = 2x² * (2x) + 5x * (2x) - 3 * (2x)

= 2x (2x² + 5x - 3)

= 2x (2x-1) (x+3)

2x² + 5x - 3 = (2x-1) (x+3), here you can use the quadratic formula to find the roots.