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​​ALGEBRA eXAMPLES

Factor this trinomial

4/6/2011

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6g² + 13gd + 6d²

It factors into two binomials:
- 1st terms are factors of 6g²........6g and g.....or .....3g and 2g
- 2nd terms are factors of 6d², when you put them in, the outer and inner terms of
the foil method need to combine to make 13gd.......2d and 3d

6g² + 13gd + 6d²
= (3g + 2d)(2g + 3d)

outer terms = 9gd
inner terms = 4gd
combined = 13gd {therefore, these are the correct factors}

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