What is the product of (x-4) (2x 3)?

To find the product of ((x - 4)(2x + 3)), you can use the distributive property (also known as the FOIL method for binomials). Multiplying each term, you get:

[ x \cdot 2x + x \cdot 3 - 4 \cdot 2x - 4 \cdot 3 = 2x^2 + 3x - 8x - 12. ]

Combining like terms results in the final expression:

[ 2x^2 - 5x - 12. ]