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Need help factoring trinomial!?

+1 vote
I'm not very good at factoring trinomials with different variables that are squared. Can you explain how you came up with your answer PLEASE!!

35x^2+xy-12y^2
asked Jan 31, 2013 in ALGEBRA 1 by anonymous Apprentice

1 Answer

+1 vote

= 35x2 + xy - 12y2

Now solve the factor method.

Look at the product of the first and last coefficients: (30)(-12) = - 420.

We want two factors of - 420 whose sum middle coefficient of 1, and they are 21 and -20.

= 35x2 + 21xy -20xy - 12y2

Take out common terms.

= 7x(5x + 3y) -4y(5x + 3y)

Take out common factors.

= (7x - 4y)(5x + 3y).

answered Jan 31, 2013 by richardson Scholar

Look at the product of the first and last coefficients: (35)(-12) = - 420.

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