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Published byKate Cutsforth Modified over 2 years ago

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X-box Factoring

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X- Box 3-9 Product Sum -6 -27

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Factor the x-box way Example: Factor 3x 2 -13x -10 -13 (3)(-10)= -30 -15 2 -10 -15x 2x 3x 2 x-5 3x +2 3x 2 -13x -10 = (x-5)(3x+2)

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Factor the x-box way Middle b=m+n Sum Product ac=mn m n First and Last Coefficients y = ax 2 + bx + c Last term 1st Term Factor n Factor m Base 1Base 2 GCF

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Examples Factor using the x-box method. 1. x 2 + 4x – 12 x 4 -12 6 -2 x 2 6x -2x -12 x -2 +6 Solution: x 2 + 4x – 12 = (x + 6)(x - 2)

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Examples continued x 2 - 9x + 20 -9 20 x 2 -4x -5x 20 x x -4 -5 Solution: x 2 - 9x + 20 = (x - 4)(x - 5 ) -4 -5

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Stepping Up- Your Turn factor: 3x 2 + 11x – 20

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Stepping Up- Your Turn factor: 3x 2 + 11x – 20. 3x 2 15x -4x – 20 11 -60 15 -4 3x -4 x 5 3x 2 + 11x – 20 = (3x - 4) (x + 5)

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Examples continued 2x 2 - 5x - 7 -5 -14 2x 2 -7x 2x -7 x 2x-7 +1 Solution: 2x 2 - 5x – 7 = (2x - 7)(x + 1 ) -7 2

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Examples continued 15x 2 + 7x - 2 7 -30 15x 2 10x -3x -2 5x 3x+2 Solution: 15x 2 + 7x – 2 = (3x + 2)(5x - 1 ) 10 -3

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Trying out the Steps Factor: 4x 2 +4x -3 4x 2 6x -2x -3 4(-3) = -12 4 6-2 2x 3 4x2 +4x -3 = (2x + 3) (2x - 1)

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