1) Разделите многочлен на многочлен А) (8х2+4х-10) на (2х-1) Б) (-3х5+2х6-3х+1)

   А) f(x) = 8х^2 + 4х - 10; g(x) = 2х - 1;

• f(x) = 8х^2 - 4x + 8х - 4 + 4 - 10;
• f(x) = 4х(2x - 1) + 4(2х - 1) - 6;
• f(x)/g(x) = 4x + 4 - 6/(2х - 1).

   Б) f(x) = -3х^5 + 2х^6 - 3х + 1; g(x) = -х - 2 = -(x + 2);

• f(x) = 2х^6 - 3х^5 - 3х + 1;
• f(x) = 2х^6 + 4x^5 - 7х^5 - 14x^4 + 14x^4 + 28x^3 - 28x^3 - 56x^2 + 56x^2 + 112x - 115x - 230 + 231;
• f(x) = 2х^5(x + 2) - 7х^4(x + 2) + 14x^3(x + 2) - 28x^2(x + 2) + 56x(x + 2) - 115(x + 2) + 231;
• f(x)/g(x) = -2х^5 + 7х^4 - 14x^3 + 28x^2 - 56x + 115 + 231/(-x - 2).

   В) f(x) = 3х^4 - 5х^3 - х; g(x) = х^2 + 1;

• f(x) = 3х^4 - 5х^3 - х;
• f(x) = (3х^4 + 3x^2) - (5х^3 + 5x) - (3x^2 + 3) + 4x + 3;
• f(x) = 3x^2(х^2 + 1) - 5х(х^2 + 1) - 3(x^2 + 1) + 4x + 3;
• f(x)/g(x) = 3x^2 - 5x - 3 + (4x + 3)/(x^2 + 1).

   Г) f(x) = 3х^2 + 5х - 3х^3 + 1; g(x) = 2 - х = -x + 2;

• f(x) = -3х^3 + 3х^2 + 5х + 1;
• f(x) = -3х^3 + 6x^2 - 3x^2 + 6x - x + 2 - 1;
• f(x) = 3х^2(-x + 2) + 3x(-x + 2) + (-x + 2) - 1;
• f(x)/g(x) = 3x^2 + 3x + 1 - 1/(-x + 2).