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Popular >

factor x^8+3x^4+4

Solution

factor

x^{8} + 3 x^{4} + 4

Solution

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

Solution steps

x^{8} + 3 x^{4} + 4

Add and subtract

x^{4}

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

Factor

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

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

Factor

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

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

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

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Frequently Asked Questions (FAQ)

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