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Popular >

factor x^8+x^4+1

Solution

factor

x^{8} + x^{4} + 1

Solution

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

Solution steps

x^{8} + x^{4} + 1

Add and subtract

x^{4}

= x^{8} + 2 x^{4} + 1 - x^{4}

Factor

x^{8} + 2 x^{4} + 1 : (x^{4} + 1)^{2}

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

Factor

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

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

Factor

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

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

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

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Frequently Asked Questions (FAQ)

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