§ 3. Многочлены над числовыми полями

                  № 35. Разложите многочлен f(x) на неприводимые множители

над полями Q, R и С.

35.01.

f(x) = x⁴ – 4х² + 3;

35.02.

f(x) = x⁴ – 6x² + 8;

35.03.

f(x) = x⁴ – х² – 72;

35.04.

f(x) = x⁴ + 2x² – 48;

35.05.

f(x) = x⁴ – 7х² + 12;

35.06.

f(x) = x⁴ + x² – 30;

35.07.

f(x) = x⁴ + 7х² + 12

35.08.

f(x) = x⁴ + 15x² + 56;

35.09.

f(x) = x⁴ – 12х² + 27;

35.10.

f(x) = x⁴ – 4x² – 45;

35.11.

f(x) = 3x⁴ – х³ + х² + х – 4;

35.12.

f(x) = x⁴ – x³ – х + 1;

35.13.

f(x) = x⁴ – 2х³ – 24х² + 50х – 25;

35.14.

f(x) = x⁴ + 3x² + 2;

35.15.

f(x) = 4x⁴ – 24х³ + 29х² + 42х – 63

35.16.

f(x) = x⁴ – 4х³ + 8х² – 16х + 16;

35.17.

f(x) = 6x⁴ + 5х³ – 95х² – 80х – 15;

35.18.

f(x) = 6x⁴ + 5х³ – 74х² + 11х + 12;

35.19.

f(x) = 10x⁴ + 21х³ – 55х² – 72х + 36;

35.20.

f(x) = x⁴ – 2х³ + 2х² – 2х + 1;

35.21.

f(x) = x⁵ – 5х⁴ + 6х³ + х² – 5х + 6;

35.22.

f(x) = x⁴ – 6х³ + 18х² – 54х + 81;

35.23.

f(x) = 3х⁴ + 5х³ – х² – 5х – 2;

35.24.

f(x) = x⁴ – 12х³ – 54х² – 108х + 81;

35.25.

f(x) = х⁴ – 9х³ + 30х² – 44х + 24;

35.26.

f(x) = х⁵ – 2x⁴ – 8х³ + 16х² + 16х – 32;

35.27.

f(x) = х⁵ + 5х⁴ + 3х³ – 13х² – 8х + 12;

35.28.

f(x) = 12x⁴ – 5х³ – 51х² + 20х – 12;

35.29.

f(x) = 6х⁴ + 5х³ – 12х² – 5х + 6;

35.30.

f(x) = 14x⁴ – 37х³ – 72х² – 17х + 4;

35.31.

f(x) = х⁴ + 4х³ – 2х² – 12х + 9;

35.32.

f(x) = x⁴ – 2х³ – 8х² + 13х – 9;

35.33.

f(x) = х⁴ + 8х³ + 8х – 1;

35.34.

f(x) = 8x³ + 42х² + 37х – 12;

35.35.

f(x) = х⁴ + 2х³ + 3х² + 2х – 3;

35.36.

f(x) = 4x³ – 12х² – 25х + 75.

\.Пример.\