Question

Multiply the polynomial (x-5)(x^2+4x-2)

Answer 1

I believe the answer is (x^3)-(x^2)-22x+10

Answer 2

x³ - x² - 22x + 10

Explanation:

Given

(x - 5)(x² + 4x - 2)

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

x(x² + 4x - 2) - 5(x² + 4x - 2) ← distribute both parenthesis

= x³ + 4x² - 2x - 5x² - 20x + 10 ← collect like terms

= x³ + (4x² - 5x²) + (- 2x - 20x) + 10

= x³ + (- x²) + (- 22x) + 10

= x³ - x² - 22x + 10