因数 (x-1)^4+(x-1)^2+6

解

因数

(x - 1)^{4} + (x - 1)^{2} + 6

x^{4} - 4 x^{3} + 7 x^{2} - 6 x + 8

解答ステップ

(x - 1)^{4} + (x - 1)^{2} + 6

(x - 1)^{4} : x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1

= x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1 + (x - 1)^{2} + 6

(x - 1)^{2} : x^{2} - 2 x + 1

= x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1 + x^{2} - 2 x + 1 + 6

簡素化

x^{4} - 4 x^{3} + 6 x^{2} - 4 x + 1 + x^{2} - 2 x + 1 + 6 : x^{4} - 4 x^{3} + 7 x^{2} - 6 x + 8

= x^{4} - 4 x^{3} + 7 x^{2} - 6 x + 8