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

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

x³ - x² - 22x + 10

Step-by-step 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