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Begin by noticing that your factor pairs will have the form ( __x + __)(__x - __). Remember that the two ends are products, and the middle number is a sum. Find the factor pairs for each end number. 4 3 1 and 4 1 and 3 2 and 2 Since 3 only has one option, you know either: ( __x + 1)(__x - 3) or (__x - 1)(__x + 3) then start testing the factor pairs of 4. I like to start with the closest together pair - 2 and 2 here. Do 2 x 1 and 2 x 3 subtract to give you 4? Yes! 6 - 2 = 4! So I want the 6 positive and the 2 negative. This gives me (2x + 3)(2x - 1). Check your answer if you are unsure.

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Q: Factoring trinomials 4x2 plus 4x-3
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