What is the factored form of 2x2 − 7x − 15

Find the GCF
The GCF is not known Thus we will need to factor by groups 

2 numbers when added  = -7 and when multiplied -30 those numbers would be 
-10 * 3

Thus the new for would be 
(2x^2 - 10x) (+ 3x - 15)  
Factor the 1st binomial The GCF is 2x Thus 2x(x - 5)
Factor the 2nd binomial The GCF is 3 Thus 3(x - 5)

Thus the factored form would be 
(2x + 3)(x - 5)

Hope that helps!!