Question

Factor the following trinomial by grouping 9x^3+30x^2+24x

Answer 1

$9x^3+30x^2+24x \\ \\ gcf = 3x \\ \\ 3x ( \frac{9x^3}{3x} + \frac{30x^2}{3x} + \frac{24x}{3x} ) \\ \\ 3x(3x^2 + 10x + 8) \\ \\ 3x ( 3x^2 + 6x + 4x + 8) \\ \\ 3x(3x(x + 2) + 4(x + 2)) \\ \\ 3x(x + 2)(3x + 4)$

The final result is: 3x(x + 2)(3x + 4).

Answer 2

Factor

9x3+30x2+24x
9x3+30x2+24x
=3x(3x+4)(x+2)