What is factor x^8-17x^4+16 ?

The solution to factor x^8-17x^4+16 is (x^2+1)(x+1)(x-1)(x^2+4)(x+2)(x-2)

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factor x^8-17x^4+16

factor

x^{8} - 17 x^{4} + 16

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

Solution steps

x^{8} - 17 x^{4} + 16

Let

u = x^{2}

= u^{4} - 17 u^{2} + 16

Factor

u^{4} - 17 u^{2} + 16 : (u + 1) (u - 1) (u + 4) (u - 4)

= (u + 1) (u - 1) (u + 4) (u - 4)

Substitute back

u = x^{2}

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

Factor

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

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

Factor

x^{2} - 4 : (x + 2) (x - 2)

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

(4 + 5 i) (4 - 5 i)

- \frac{π}{4} + \frac{π}{2}

x^{2} + 16 x + 55 = 0

2 - y = - 4

4 x^{4} + 4 x^{3} + x^{2}

What is factor x^8-17x^4+16 ?
The solution to factor x^8-17x^4+16 is (x^2+1)(x+1)(x-1)(x^2+4)(x+2)(x-2)