Answer:
R(x) = 98820x³ + 53412x² + 134568x + 7776
Step-by-step explanation:
We are given the functions
f(x) = 12x + 1208x + 72
Simplifying the function
f(x) = 1220x + 72
g(x) = x² + 18x + 80x² + 21x + 108
g(x) = 81x² + 39x + 108
We have to find R(x) = f(x)g(x) = (1220x + 72) (81x² + 39x + 108)
= 1220x (81x² + 39x + 108) + 72 (81x² + 39x + 108)
= 98820x³ + 47580x² + 131760x + 5832x² + 2808x + 7776
R(x) = 98820x³ + 53412x² + 134568x + 7776
