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solving quadratic equations

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solving quadratic equations [#permalink] New post 08 Jun 2011, 14:15
how do I find the product (x-1)(x-2) if the term x²-3x+2 is given??? Is there any general explanation for factoring??
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Re: solving quadratic equations [#permalink] New post 08 Jun 2011, 17:17
pro wrote:
how do I find the product (x-1)(x-2) if the term x²-3x+2 is given??? Is there any general explanation for factoring??


x^2-2x-x+2
x(x-2)-1(x-2)
(x-1)(x-2)

x2-(a+b)x+ab leads to (x-a)(x-b)
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Re: solving quadratic equations [#permalink] New post 09 Jun 2011, 01:24
One glance at the equation should tell you the factorization part. Imagine you are given an equation ax^2 + bx + c. You can factorize it by identifying the factors of a*c that add upto b. In other words in your problem above. the product of a and c is 2. and -2, -1 are factors of 2 which add up to -3. So (x+(-1) = x-1 is one factor and likewise x-2 is the other.

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Re: solving quadratic equations [#permalink] New post 09 Jun 2011, 01:34
pro wrote:
how do I find the product (x-1)(x-2) if the term x²-3x+2 is given??? Is there any general explanation for factoring??

http://www.purplemath.com/modules/factquad.htm
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Re: solving quadratic equations   [#permalink] 09 Jun 2011, 01:34
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