Determine the product of each set of polynomials (2x-3)(4x+5)

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

We must use distributive property to find the product.

First multiply 2x and 4x, then 2x and 5.

Second multiply -3 and 4x, then -3 and 5.

Finally combine like terms.

8x^2 + 10x - 12x -15 = 8x^2 - 2x - 15 is the answer

Don't forget when multiply exponents, you're adding them. For example 2x times 4x equals 8x^2. I'm adding x^1 and x^1 which equals x^2