By: Megan Zabarsky, Claudia Demianczuk and Julie Coker

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Presentation transcript:

By: Megan Zabarsky, Claudia Demianczuk and Julie Coker Factoring AC Method By: Megan Zabarsky, Claudia Demianczuk and Julie Coker

Vocabulary Factoring: finding what to multiply to get an expression Temporary Values: the numbers that add to the B coefficient and multiply to AC AC Method: used to factor polynomials in standard form (ax2 + bx + c), the coefficients are a, b and c and x is the variable

AC Method Steps

Example Problems 3x2 + 4x -4 Determine AC: -12 Find M and N: m = -2; n = 6 Rewrite it as: (3x+6)(3x-2) Divide by 3: (x+2)(3x-2) If you are unable to divide the coefficient it remains in the equation Set equations equal to 0 and solve If x+2 = 0 then x= -2 If 3x-2 = 0 then x = 2/3

Examples cont. 1. Find AC = 20 1. AC = 10 2x2 + 9x +10 2x2 + 11x + 5 1. Find AC = 20 1. AC = 10 2. Find M = 4 N = 5 2. M = 10 N= 1 3. (2x+4)(2x+5) 3. (2x+10) (2x+1) 4. (x+2)(2x+5) 4. (x+5)(2x+1) 5. x+2 = 0 and 2x+5 = 0 5. x+5 = 0 and 2x+1 = 0 6. x = -2 and -2.5 6. x = -2 and -1/2

Examples cont. 6x2+7x+ 2 AC = 12 M = 4 N = 3 Rewrite it as: (6x+4)(6x+3) Divide by 6: (6x+4)(x+1/2) Set equations equal to 0 If 6x+4 = 0 then x = -2/3 If x+1/2 = 0 then x = -1/2