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3x^2-17x+10

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2 Answers

Factor of 30 will go and make 17 if you choose 15 and 2. So you can use = 3x^2 - 2x - 15x + 10 = x(3x - 2) -5(3x-2) = (3x-2)(x-5)

Look at the factors of 3 (3 and 1) and of 10 (1 and 10, 2 and 5).

Can you combine them so that some combination equals 17?

Let's check:

(3x - 1)(x - 10) ==> 3x2 - x - 10x + 10 = 3x2 - 11x + 10  (No)

(3x - 2)(x - 5) ==> 3x2 - 2x - 15x + 10 = 3x2 - 17x + 10 (yes)