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Published byBuddy Robinson Modified over 8 years ago

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Box Method for Factoring Factoring expressions in the form of

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

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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

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

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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?

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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. -2 -10x 3x

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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. -2 3x -10x 1 5x 3x-2

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

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