Answer
$$ 3x^2+7x+4$$
Work Step by Step
We start with the factored form of the equation that would make these solutions, and then we use the FOIL method to get the equation into the form $ax^2+bx+c$. Thus, we obtain:
$$(3x+4)(x+1) \\ 3x^2+3x+4x+4 \\ 3x^2+7x+4$$