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9-6 X-box Factoring ax 2 +bx+c

9-6 X-box Factoring ax 2 +bx+c. X-box Factoring. This is a guaranteed method for factoring quadratic equations—no guessing necessary! We will learn how to factor quadratic equations with a number in front of the x 2 using the x-box method!. Factor the x-box way. y = ax 2 + bx + c. GCF.

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9-6 X-box Factoring ax 2 +bx+c

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  1. 9-6X-box Factoringax2+bx+c

  2. X-box Factoring • This is a guaranteed method for factoring quadratic equations—no guessing necessary! • We will learn how to factor quadratic equations with a number in front of the x2 using the x-box method!

  3. Factor the x-box way y = ax2 + bx + c GCF GCF left*right Left Term n GCF n m Right Term m middle GCF

  4. Factor the x-box way Example: Factor 3x2 -13x -10 (3)(-10)= -30 x -5 3x 3x2 -15x 2 -15 -13 -10 2x +2 3x2 -13x -10 = (x-5)(3x+2)

  5. Examples continued Factor 2x2 - 5x - 7 a) b) 2x -7 -72 -14 -5 x 2x2-7x 2x -7 +1 Solution: 2x2 - 5x – 7 = (2x - 7)(x + 1)

  6. Examples continued Factor 15x2 + 7x - 2 a) b) 3x +2 -30 7 5x 15x210x -3x -2 10-3 -1 Solution: 15x2 + 7x – 2 = (3x + 2)(5x - 1)

  7. Examples continued Factor 3x2 - 17x + 10 a) b) x -5 30 -17 3x 3x2 -15x -2x 10 -15-2 -2 Solution: 15x2 + 7x – 2 = (3x -2)(x - 5)

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