Answer
C. $6x^{2}-7x-20$
Work Step by Step
We are given the expression $(2x-5)(3x+4)$. We can find the product of this expression using the FOIL method.
First terms: $2x\times 3x=6x^{2}$
Outer terms: $2x\times4=8x$
Inner terms: $-5\times 3x=-15x$
Last terms: $-5\times4=-20$
Adding together: $6x^{2}+8x+(-15x)+(-20)=6x^{2}+8x-15x-20=6x^{2}-7x-20$