Answer
$2x^{3}-3x^{2}-13x+20$
Work Step by Step
To find the product of $(2x-5)$ and $(x^{2}+x-4)$, we need to use the distributive property in which each term of the first polynomial is multiplied to each term of the second polynomial. Then, we simplify the resultant expression:
$(2x-5)(x^{2}+x-4)$
=$2x(x^{2}+x-4)-5(x^{2}+x-4)$
=$2x^{3}+2x^{2}-8x-5x^{2}-5x+20$
=$2x^{3}+2x^{2}-5x^{2}-5x-8x+20$
=$2x^{3}-3x^{2}-13x+20$
