Question

Considere os polinomios : A= -5x³ + 4x² - 9x + 5 ; B = 4x - 9 ; C = x² - 8 . Calcule :
C. (A-B)

Answer 1

(x² - 8)( - 5x³ + 4x² - 9x + 5 - 4x + 9)

(x² - 8)( - 5x³ + 4x² - 13x + 14)

 - 5x^5 + 4x^4 - 13x^3 + 14x^2 + 40x³ - 32x² + 104x - 112

 - 5x^5 + 4x^4 +27x^3 - 18x² + 104x - 112

Answer 2

$(x^2 - 8)( - 5x^3 + 4x^2 - 9x + 5 - 4x + 9) = \\ \\ (x^2 - 8)( - 5x^3 + 4x^2 - 13x + 14) = \\ \\ -5x^5 + 4x^4 - 13x^3 + 14x^2 + 40x^3 - 32x^2 + 104x - 112= \\ \\ \boxed{- 5x^5 + 4x^4 +27x^3 - 18x^2 + 104x - 112}$