Find R (x) = f (x) g (x) where f (x) = 12x+1208x+72 and g (x) = x2+18x+80x2+21x+108.

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