Question

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

Answer 1

@Shi

Answer 2

I think you should start by using the quadratic formula, though I think there might be a better way

Answer 3

what's the better way?

Answer 4

take the factors of 7 and 5 and mess with them to get all the possible b's

Answer 5

the only factors of 7 are 1 and 7 and the only factors of 5 are 1 and 5

Answer 6

so how would i list that?

Answer 7

?

Answer 8

the answers are 12, -12, -2 and 2
I think. check if that's right

Answer 9

12, -12, 36, -36

Answer 10

36 doesn't work
try factoring it

Answer 11

7x^2 + 35x + x + 5
7x(x+5) + 1(x+5)
(7x+1)(x+5)

Answer 12

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