Given 2x-3 and x+4 are the only factors of q(x), find q(x)

Since you have said, that q(x) is the product of 2x - 3 and x + 4,

All you have to do is multiply those expressions and you’ll get your answer like so:

(2x - 3)(x + 4) = 2x^2 + 5x - 12

Hope it helps