Question

Let f(x)=x-5 and g(x)=x^2-7x+8 find f(x) × g(x)

Answer 1

x³ - 12x² + 43x - 40

Explanation:

f(x) × g(x)

= (x - 5)(x² - 7x + 8)

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

x(x² - 7x + 8) - 5(x² - 7x + 8) ← distribute both parenthesis

= x³ - 7x² + 8x - 5x² + 35x - 40 ← collect like terms

= x³ - 12x² + 43x - 40