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Factorize x^2 - 8x + 12

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grade81 | Student, Kindergarten | eNoter

Posted April 30, 2011 at 1:05 PM via web

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Factorize x^2 - 8x + 12

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted April 30, 2011 at 1:10 PM (Answer #1)

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We have to factorize : x^2 - 8x + 12

x^2 - 8x + 12

write -8 as the sum of 2 numbers which give a product 12. This can be done as -8 = -6 + -2

=> x^2 - 6x - 2x + 12

remove the common factor x in the first two terms and the common factor -2 in the last two terms

=> x(x - 6) - 2(x - 6)

remove the common factor (x - 6)

=> (x - 2)(x - 6)

The factors of x^2 - 8x + 12 are (x - 2)(x - 6)

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