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Factoring-Review

# Factoring-Review - Example 2x 2 9x 10 = 2x 2 4x 5x 10 =...

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Factoring Review Always Factor The Greatest Common Factor Out First! Example: To factor 2x 3 - 2x 2 - 24x, first factor out 2x. COMMON FORMS a 2 - b 2 = (a + b)(a - b) a 4 - b 4 = (a 2 + b 2 )(a 2 - b 2 ) = (a 2 + b 2 )(a + b)(a - b) x 2 + bx + c = (x + k 1 )(x + k 2 ) where k 1 + k 2 = b and k 1 k 2 = c. ax 2 + bx + c = (a 1 x + k 1 )(a 2 x + k 2 ) where a 1 a 2 =a, k 1 k 2 = c, and a 2 k 1 + a 1 k 2 = b Factoring By Grouping AC + BC + DA + DB = C(A + B) + D(A + B) = (C + D)(A + B)
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Unformatted text preview: Example: 2x 2 + 9x + 10 = 2x 2 + 4x + 5x + 10 = 2x(x + 2) + 5(x + 2) = (x + 2)(2x + 5) The key here is to find two numbers that add to 9 but multiply out to 2x10 = 20. Those numbers are 4 and 5 so you rewrite 9x as 4x+5x. There are nearly countless other forms of factorization, but these are the ones most commonly used....
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