## Algebra 1

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)