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Factoring (The X-Box Method)

Factoring (The X-Box Method). 3x 2 -2x - 1. The first number times the last number goes in the top of the X (3x 2 )(-1) = -3x 2 2) The middle number goes in the bottom. -3x 2. -2X. Factoring (The X-Box Method). 3x 2 -2x - 1. 3) Find the other numbers, they

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Factoring (The X-Box Method)

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  1. Factoring (The X-Box Method) • 3x2 -2x - 1 • The first number times the last number • goes in the top of the X • (3x2)(-1) = -3x2 • 2) The middle number goes in the bottom -3x2 -2X

  2. Factoring (The X-Box Method) • 3x2 -2x - 1 3) Find the other numbers, they Must multiply to be the top, and add to be the bottom. -3x2 -3x x -2X

  3. Factoring (The X-Box Method) • 3x2 -2x - 1 4)First number = first box last number = last box -3x2 -3x x 3x2 -2X -1

  4. Factoring (The X-Box Method) • 3x2 -2x - 1 5)Take the numbers you found for the X, and put them into the box -3x2 -3x x -3x 3x2 -2X x -1

  5. Factoring (The X-Box Method) • 3x2 -2x - 1 6)Find the G.C.F.s x 1 -3x2 -3x 3x x -3x 3x2 -2X 1 x -1

  6. Factoring (The X-Box Method) • 3x2 -2x - 1 7) Take the sign from the proper boxes x 1 - -3x2 -3x 3x x -3x 3x2 + -2X 1 x -1

  7. Factoring (The X-Box Method) • 3x2 -2x - 1 8) (x-1)(3x+1) (3x+1)(x-1) x 1 - -3x2 -3x 3x x -3x 3x2 + -2X 1 x -1

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