As one of the steps in a calculation, I had to factorize the following quadratic polynomial:
$$12x^2 - 11x - 15$$
Using guess and check, and after roughly 10 minutes, I came to the following solution:
$$(4x + 3)(3x - 5)$$
I stumble upon factoring these kinds of quadratics all the time, and they take up a majority of the time in answering a multi-step question. Is there a method more efficient than guess and check which would help me get to the answer in less time?
Any help is greatly appreciated, thanks in advance.