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Popular >

factor x^4+3x^2+4

Solution

factor

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

Solution

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

Solution steps

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

Add and subtract

x^{2}

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

Factor

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

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

Factor

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

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

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

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Frequently Asked Questions (FAQ)

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