Question

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

Answer 1

R(x) = 98820x³ + 53412x² + 134568x + 7776

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