What is factor (x-1)^4+(x-1)^2+6 ?

The solution to factor (x-1)^4+(x-1)^2+6 is x^4-4x^3+7x^2-6x+8

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factor (x-1)^4+(x-1)^2+6

factor

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

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

Solution steps

(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

Simplify

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

3 (x 2 - 4 x + 5)

(x y) z

2^{2} + 3 s + 8

x^{4} - 13 x^{2} + 3 6^{2}

What is factor (x-1)^4+(x-1)^2+6 ?
The solution to factor (x-1)^4+(x-1)^2+6 is x^4-4x^3+7x^2-6x+8