Question

Разложи на множители q3−q2−10q+1000

Answer 1

q³ - q² - 10q + 1000 = (q³ + 1000) - (q² + 10q) = (q³ + 10³) - q(q + 10) =

= (q + 10)(q² - 10q + 100) - q(q + 10) = (q + 10)(q² - 10q + 100 - q) =

= (q + 10)(q² - 11q + 100)