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Find all positive and negative integers b such that 7x^2+bx+5 factors. B= (use comma's to seperate answers)

Mathematics
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I think you should start by using the quadratic formula, though I think there might be a better way
what's the better way?

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Other answers:

take the factors of 7 and 5 and mess with them to get all the possible b's
the only factors of 7 are 1 and 7 and the only factors of 5 are 1 and 5
so how would i list that?
?
the answers are 12, -12, -2 and 2 I think. check if that's right
12, -12, 36, -36
36 doesn't work try factoring it
7x^2 + 35x + x + 5 7x(x+5) + 1(x+5) (7x+1)(x+5)
I don't think I've had this problem before but http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/Polynomials-and-rational-expressions.faq.question.177236.html shows you how to get your solution

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