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Master Factoring with X-Box Method Explanation

Learn step-by-step X-Box factoring method with examples. Set up the X-Box and factor ax² + bx + c. Fill sides with numbers that multiply to the top and add to the bottom. Practice examples for better understanding.

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Master Factoring with X-Box Method Explanation

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  1. X-box Factoring

  2. Step 1: Set up X- BoxFactor ax2 + bx + c Product ac Sum b

  3. Step 1: Set up X- BoxExample: Factor x2 + 5x + 6 Product (ac) (1)(6)= 6 Sum (b) 5

  4. Step 2: Fill in sides with numbers that when multiplied equal top and added equal bottom. Product ac = mn n m Sum b = m + n

  5. Step 2: Fill in sides with numbers that when multiplied equal top and added equal bottom. Example: Factor x2 + 5x + 6 6 (2)(3)= 6 3 2 5 2 + 3 = 5

  6. Factor the x-box way Example: Factor x2 + 5x + 6 (1)(6)= 6 x +2 First Term x2 Factor m 2x x 2 3 5 Factor n 3x Last Term 6 +3 x2 +5x + 6 = (x+2)(x+3)

  7. -12 4 Examples Factor using the x-box method. 1. x2 + 4x – 12 a) b) x +6 x26x -2x -12 x 6 -2 -2 Solution: x2 + 4x – 12 = (x + 6)(x - 2)

  8. Examples continued 2. x2 - 9x + 20 a) b) x -4 -4 -5 20 -9 x2-4x -5x 20 x -5 Solution: x2 - 9x + 20 =(x - 4)(x - 5)

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