Co to jest (x ^ 4 + 3x ^ 3-x + 2) / (x ^ 2 + 2x + 1)?

Co to jest (x ^ 4 + 3x ^ 3-x + 2) / (x ^ 2 + 2x + 1)?
Anonim

Odpowiedź:

Iloraz jest = x ^ 2 + x-3 =x2+x3 a reszta to = 4x + 5 =4x+5

Wyjaśnienie:

Wykonajmy długi podział

color (biały) (aaaa) aaaa x ^ 2 + 2x + 1 x2+2x+1|color (biały) (aa) aa x ^ 4 + 3x ^ 3 + 0x ^ 2-x + 2 x4+3x3+0x2x+2|color (biały) (aa) aa x ^ 2 + x-3 x2+x3

color (biały) (aaaaaaaaaaaaaaaaaa) aaaaaaaaaaaaaaaaaa x ^ 4 + 2x ^ 3 + x ^ 2 x4+2x3+x2

color (biały) (aaaaaaaaaaaaaaaaaaa) aaaaaaaaaaaaaaaaaaa 0 + x ^ 3-x ^ 2-x 0+x3x2x

color (biały) (aaaaaaaaaaaaaaaaaaaaa) aaaaaaaaaaaaaaaaaaaaa + x ^ 3 + 2x ^ 2 + x +x3+2x2+x

color (biały) (aaaaaaaaaaaaaaaaaaaaaa) aaaaaaaaaaaaaaaaaaaaaa + 0-3x ^ 2-2x + 2 +03x22x+2

color (biały) (aaaaaaaaaaaaaaaaaaaaaaaaaa) aaaaaaaaaaaaaaaaaaaaaaaaaa -3x ^ 2-6x-3 3x26x3

color (biały) (aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa) aaaaaaaaaaaaaaaaaaaaaaaaaaaaaa 0 + 4x + 5 0+4x+5

Iloraz jest = x ^ 2 + x-3 =x2+x3 a reszta to = 4x + 5 =4x+5

(x ^ 4 + 3x ^ 3-x + 2) / (x ^ 2 + 2x + 1) = (x ^ 2 + x-3) + (4x + 5) / (x ^ 2 + 2x + 1) x4+3x3x+2x2+2x+1=(x2+x3)+4x+5x2+2x+1