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Popular >

factor x^8-29x^4+100

Solution

factor

x^{8} - 29 x^{4} + 100

Solution

(x^{2} + 2) (x^{2} - 2) (x^{2} + 5) (x^{2} - 5)

Solution steps

x^{8} - 29 x^{4} + 100

Let

u = x^{2}

= u^{4} - 29 u^{2} + 100

Factor

u^{4} - 29 u^{2} + 100 : (u + 2) (u - 2) (u + 5) (u - 5)

= (u + 2) (u - 2) (u + 5) (u - 5)

Substitute back

u = x^{2}

= (x^{2} + 2) (x^{2} - 2) (x^{2} + 5) (x^{2} - 5)

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Frequently Asked Questions (FAQ)

What is factor x^8-29x^4+100 ?
The solution to factor x^8-29x^4+100 is (x^2+2)(x^2-2)(x^2+5)(x^2-5)