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Which of the following is a factor of both x^2-x-6 and x^2-5x +6? A. x-3 B. x+3 C. x-2...
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The common factor of the given expressions has to be determined.
= x^2 - 3x + 2x - 6
= x(x - 3) + 2(x - 3)
= (x + 2)(x - 3)
x^2 -5x +6
= x^2 - 3x - 2x + 6
= x(x - 3) - 2(x - 3)
= (x - 2)(x - 3)
The common factor is (x - 3)
Posted by justaguide on April 10, 2013 at 1:57 PM (Answer #1)
we have to find common solution of equations
`x^2 -5x+6` and `x^2 - x - 6`
`x^2 - 5x+6=x^2 -3x -2x +6` so :
On the other side: `x^2-x-6=x^2 - 3x + 2x -6`
so the common factor is `x-3`
Posted by oldnick on April 11, 2013 at 2:42 AM (Answer #2)
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