Question

Dados os polinomios F=X²-2X+1; G= -X²+1 e H= X-1. Qual o valor de FH-G²?

Answer 1

F = x² - 2 x + 1
g =- x² + 1
H=x - 1
F.H - G²
(X² -2 X +1) .(X - 1)  -  ( -X²+1)²
( X³ - 3 X² + 3 X +1) - (X^4 - 2 X² + 1)
X³ - 3 X² + 3 X + 1 -X^4 - 2 X² +1
X^4 +X³- 3 X² - 2 X² +3 X + 1 +1
X~4 + X³ - 5 X² + 3 X + 2