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factorin trinomals

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1 Answer

The two things to look at are the factors of your quadratic (2nd degree term) and the constant term. 

10q2 ==> q and 10q, 2q and 5q

2 ==> 1 and 2

Now, which combinations of these, when added together, equal 9q?

q * 1 + 10q * 2 ==> 21q (no)

q * 2 + 10q * 1 ==> 12q (no)

2q * 2 + 5q * 1 ==> 9q (yes)

So our factors would be (2q + 1)(5q + 2)