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Factorize x^2 - 8x + 12
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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)
Posted by justaguide on April 30, 2011 at 1:10 PM (Answer #1)
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