Question

For f(x)=2x+1 and g(x)=x^2 -7 , find (f times g)(x)

Answer 1

2x³ + x² - 14x - 7

Explanation:

The product of f(x) and g(x) is

(2x + 1)(x² - 7)

Each term in the second factor is multiplied by each term in the first factor

2x(x² - 7) + 1 (x² - 7) ← distribute both parenthesis

= 2x³ - 14x + x² - 7

= 2x³ + x² - 14x - 7 ← in standard form