ax2 + bx + c 2x2 + 11x + 5 ac 2(5) = b =11 ( ) 2x2 + 10x + 1x

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ax2 + bx + c 2x2 + 11x + 5 ac 2(5) =10 1 10 b =11 ( ) 2x2 + 10x + 1x ( ) 2x2 + 10x + 1x ( ) + 5 2x (x + 5 ) + 1 (x + 5) (2x + 1)(x + 5) check it by foiling

ax2 + bx + c 3x2 + 5x + 2 ac 3(2) =6 2 3 b =5 ( ) 3x2 + 3x + 2x ( ) ( ) 3x2 + 3x + 2x ( ) + 2 3x (x + 1 ) + 2 (x + 1) (3x + 2)(x + 1) check it by foiling

ax2 + bx + c 2x2 + 21x - 11 ac 2(-11) =-22 -1 22 b =21 ( ) 2x2 + 22x ( ) 2x2 + 22x + -1x ( ) + -11 2x (x + 11 ) + -1 (x + 11) (2x - 1)(x + 11) check it by foiling

ax2 + bx + c 8x2 + -14x - 15 ac 8(-15) =-120 6 -20 b =-14 ( ) 8x2 ( ) 8x2 + -20x + 6x ( ) + -15 4x (2x + -5 ) + 3 (2x + -5) (4x + 3)(2x - 5) check it by foiling

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