Summary

__//**GCF**//__ 1__6x 2 + 32x + 12__ **/** 4 Equals: 4(4x 2 + 8x + 3)

__24x 2 - 56x + 16__ **/** 8 Equals: 8(3x 2 - 7x + 2 )

**//__Difference of Squares__//** 9x 2 -49 (3x+7)(3x-7)

81x 2 -36 (9x+4)(9x-4)

**//__Perfect Square Trinomials__//** 81x 2 +36x+4 (9x+2) 2

9x 2 +48x+64 (3x+8) 2

**//__Trinomial where A = 1__//** Factor x 2 +8x+15 5 and 3 add to get 8 and multiply to get 15 (x+3)(x+5)

Factor x 2 +3x-70 10 and -7 add to get 3 and multiply to get -70 (x+10)(x-7) **//__Trinomial where A ≠ 1__//** Factor 2x <span style="color: #000000; font-family: 'Comic Sans MS',cursive; vertical-align: super;">2 <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">-7x+6 <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">3 and 2 multiply to get 6 <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">(2x-3)(x-2) <span style="color: #000000; font-family: 'Comic Sans MS',cursive;">FOIL to check 2x 2 -7x+6

Factor 4x 2 +5x-6 4*-6=-24 Two factors of -24 whose sum is 5 (-3 and 8) 4x 2 +8x-3x-6 Divide the terms- (4x 2 +8x)+(-3x-6) Find the GCF of each binomial- 4x(x+2)+-3(x+2) (4x-3)(x+2)