The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
We are to find the product of (4z^2+7x-8) and (-z+3)
Product = (4z^2+7z-8)(-z+3)
Using the distributive law:
[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]
Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
Learn more on product of functions here: https://brainly.com/question/25638609
