Answer
2x(2x+3)(x+4)
Work Step by Step
Given the polynomial
$4x^{3}$ + $22x^{2}$ + 24x
We see that the three terms have a common factor of 2x so we factor out a 2x.
2x($2x^{2}$ + 11x + 12)
*** We break of the middle term into two factors that add to give +11 and multiply to give +24. The two numbers are +8 and +3.
2x($2x^{2}$ + 3x + 8x + 12)
We take the GCD of the first two and the GCD of the last two terms.
2x(x(2x+3)+4(2x+3))
We take (2x+3) and factor it out which gives us.
2(2x+3)(x+4)
