Question

Qual é a forma reduzida do polinômio x² - 5x³ + 3x - 5x² + 4x - 3 + x – 5

Answer 1

Explicação passo-a-passo:

– 5x³ – 5x² + x² + 3x + 4x + x – 3 – 5

– 5x³ – 4x² + 8x – 8

Answer 2

$\displaystyle \text{Acompanhe.}\\\\ x^2-5x^3+3x-5x^2+4x-3+x-5\\\\ =-5x^3+x^2-5x^2+3x+4x+x-3-5\\\\ =-5x^3-4x^2+8x-8\\\\ =-(5x^3+4x^2-8x+8)\\\\ \text{Seja } f(x)=-(5x^3+4x^2-8x+8). \text{ Ent\~ao, } f(-2)=0 \text{, assim,}\\\\ =-(x+2)(5x^2-6x+4).\\\\\\\\ \text{Bons estudos, ma dear.}$