Question

2. If f(x) = x - 7 and g(x) = 2x + 5, then what is f(x) * g(x)?

2x^2 - 9x - 35
2x^2 + 9x - 35
2x^2 - 2x - 35
3x^2 - 9x - 35
3x-2

Answer 1

2x² - 9x - 35

Explanation:

f(x) × g(x) = (x - 7)(2x + 5)

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

x(2x + 5) - 7(2x + 5) ← distribute both parenthesis

= 2x² + 5x - 14x - 35 ← collect like terms

= 2x² - 9x - 35