Question

Find f(x) · g(x) = (fg)(x). Simplify. f(x) = x2 + 4 g(x) = x2 − x + 5

Answer 1

f(x) = x2 + 4 g(x) = x2 − x + 5

f(x) · g(x) = (fg)(x) = (x^2 + 4)( x^2 − x + 5)
f(x) · g(x) = (fg)(x) = x^4 - x^3 + 5x^2 + 4x^2 - 4x + 20
f(x) · g(x) = (fg)(x) = x^4 - x^3 + 9x^2 - 4x + 20

answer
f(x) · g(x) = (fg)(x) = 
x^4 - x^3 + 9x^2 - 4x + 20