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Factor x-box method

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The document provides instructions and examples for factoring polynomials using the x-box method. It explains that the x-box method involves writing the polynomial terms in an x-box diagram and identifying the greatest common factor and factor pairs. Three examples of polynomials are then factored using the x-box method.

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1 of 7
X-box Factoring
X- Box 3 -9 Product Sum
Factor the x-box way Middle b= m + n Sum Product a c = m n m n First and Last Coefficients y = ax 2 + bx + c Last term 1st Term Factor n Factor m Base 1 Base 2 GCF Height
Examples ,[object Object],[object Object],[object Object],x 6 -2 x 2 6 x -2 x -12 x -2 +6 Solution: x 2 + 4x – 12 = (x + 6 )(x - 2 ) -12 4
Examples continued ,[object Object],[object Object],20 -9 x 2 -4 x -5 x 20 x x -4 -5 Solution: x 2 - 9x + 20 = (x - 4 )(x - 5 ) -4 -5
Examples continued ,[object Object],[object Object],-14 -5 2x 2 -7 x 2 x -7 x 2x -7 +1 Solution: 2x 2 - 5x – 7 = (2x - 7 )(x + 1 ) -7 2
Examples continued ,[object Object],[object Object],-30 7 15x 2 10 x -3 x -2 5x 3x +2 -1 Solution: 15x 2 + 7x – 2 = (3x + 2 )(5x - 1 ) 10 -3

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Factor x-box method

  • 2. X- Box 3 -9 Product Sum
  • 3. Factor the x-box way Middle b= m + n Sum Product a c = m n m n First and Last Coefficients y = ax 2 + bx + c Last term 1st Term Factor n Factor m Base 1 Base 2 GCF Height
  • 4.
  • 5.
  • 6.
  • 7.