Your goal is to determine all the value(s) of b in order for 3x2+bx-8 to be factorable into two binomials. Note b is not necessarily a positive number. Explain your reasoning or show how you arrived at your solution(s).

Elementary Algebra
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Chapter7: Factoring
Section7.2: Factor Quadratic Trinomials With Leading Coefficient 1
Problem 132E: How do you determine whether to use plus or minus signs in the binomial factors of a trinomial of...
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Your goal is to determine all the value(s) of b in order for 3x2+bx-8 to be factorable into two binomials. Note b is not necessarily a positive number. Explain your reasoning or show how you arrived at your solution(s). 

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