Question

$6x^{2}+7x-20$

Explanation:

Step1: Split middle term

We need two numbers that multiply to $6\times(-20)=-120$ and add to $7$. These numbers are 15 and -8.
$6x^2 + 15x - 8x - 20$

Step2: Factor by grouping

Group the first two and last two terms, then factor out common terms.
$3x(2x + 5) - 4(2x + 5)$

Step3: Factor out common binomial

Extract the shared binomial factor.
$(2x + 5)(3x - 4)$

Answer:

$(2x + 5)(3x - 4)$