Megan factored the expression 12x²+13x-14 as (3x+2)(x-7). But when Jacob applied the FOIL principle and multiplied out (3x+2)(4x-7), he got 12x²-13x-14; thus, Megan’s solution does not appear to check. Why is that? Please help Megan to understand this better. Explain your reasoning and correctly factor the original expression, if possible. If the expression is prime, so state.

Question

anonymous · Answer

She simply used incorrect signs while factoring. 
(3x-2)(4x+7) works fine.