Question

Which is the completely factored form of 4x^3+10x^2-6x

Answer 1

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

Explanation:

4x^3+10x^2-6x

GCF = 2x

so

4x^3 + 10x^2 - 6x

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

= 2x(2x^2 + 6x - x - 3)

= 2x[(2x(x + 3) - (x + 3)]

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