Question

Me ajudem a resolver essas divisões de polinômios pf (preciso ate amanha de manha)

A) (x^4 + 4x^3 +8x^2 +5x-1) / (x^2 + 4x + 7 )

B) (x^5 -3x^4 + 2x^3 - x^2 + x - 1) / (x+3)

C) (x^4 - x^2 + 1/2) / (x-2)

D) (x^3 - 7x + 6) / (x + 3)

Answer 1

Boa noite

A) (x^4 + 4x^3 +8x^2 +5x-1) / (x^2 + 4x + 7 )

x^4 + 4x^3 + 8x^2 + 5x - 1 = (x^2 + 1) * (x^2 + 4x + 7) + x - 8

B) (x^5 -3x^4 + 2x^3 - x^2 + x - 1) / (x+3)

x^5 - 3x^4 + 2x^3 - x^2 + x - 1 = (x^4 - 6x^3 + 20x^2 - 61x + 184) * (x + 3) + -553

C) (x^4 - x^2 + 1/2) / (x-2)

x^4 - x^2 + 1/2 = (x^3 + 2x^2 + 3x + 6)  * (x - 2) + 25/2

D) (x^3 - 7x + 6) / (x + 3)

x^3 - 7x + 6 = (x^2 - 3x + 2) * (x + 3) + 0