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Really simple math time.

Name: Anonymous 2008-04-18 15:00

Ok I'm just doing factorisation of a quardratic expression of the form ax²+bx+c

And I've come across these two which I can't figure out what I'm supposed to do.

Factorise, where possible

7x²+47x+7

And

3x²+7xy+3y²

The book I have doesn't even have the answers for these in the back.

Name: Anonymous 2008-04-18 17:48

First one doesn't have any nice factorizations, but you can use the quadratic formula to get the roots and then factor it, naturally. The second one is similar, but slightly different because of the presence of y. Pretend the y isn't there, and get the roots of 3x^2 + 7x + 3. Call these roots a and b. Then 3x^2 + 7xy + 3y^2 = 3(x - ay)(x - by).

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