Question

Factor the polynomial 30x^3 + 22x^2 + 4x completely.

Answer 1

`30x^3 + 22x^2 + 4x \\ \\ gcf = 2x \\ \\ 2x ( (30x^3)/(2x) + (22x^2)/(2x) + (4x)/(2x) ) \\ \\ 2x ( 15x^2 + 11x + 2) \\ \\ 2x (15x^2 + 6x + 5x + 2) \\ \\ 2x(3x(5x + 2) + (5x + 2)) \\ \\ 2x(5x + 2)(3x + 1) \\ \\`

The final result is: 2x(5x + 2)(3x + 1).