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Box Method for Factoring

Box Method for Factoring. Factoring expressions in the form of. Box Method for Factoring. We are going to factor the expression First draw a box and divide into quarters. Box Method for Factoring. Now we are going to place the terms of the expression into the box. Look at the expression:

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Box Method for Factoring

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  1. Box Method for Factoring Factoring expressions in the form of

  2. Box Method for Factoring • We are going to factor the expression • First draw a box and divide into quarters.

  3. Box Method for Factoring • Now we are going to place the terms of the expression into the box. • Look at the expression: • Place the in the top left box. • Place the -2 in the bottom right box. -2

  4. -2 Box Method for Factoring • Now we are going to multiply the coefficient of the first term by the constant. (15) (-2) = -30

  5. Box Method for Factoring • Now we are going to list the factors of 30. 30 1 30 2 15 3 10 5 6 • Are there any pair of numbers that would equal -7?

  6. -2 Box Method for Factoring • We just found the factors of -30 that have a sum of -7! • We will place those factors in the box with an “x” • It doesn’t matter which box you put them in. -10x 3x

  7. -2 Box Method for Factoring • Now we are going to pull out the common factors from each row and column. • Last sign out of the box determines the sign. 3x -2 5x -10x 3x 1

  8. Box Method for Factoring • We now have the factors of • The factors are: (5x + 1)(3x - 2)

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