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Popular >

factor x^4-3x^2+9

Solution

factor

x^{4} - 3 x^{2} + 9

Solution

(x^{2} + 3 x + 3) (x^{2} - 3 x + 3)

Solution steps

x^{4} - 3 x^{2} + 9

Add and subtract

9 x^{2}

= x^{4} + 6 x^{2} + 9 - 9 x^{2}

Factor

x^{4} + 6 x^{2} + 9 : (x^{2} + 3)^{2}

= (x^{2} + 3)^{2} - 9 x^{2}

Factor

(x^{2} + 3)^{2} - 9 x^{2} : (x^{2} + 3 + 3 x) (x^{2} + 3 - 3 x)

= (x^{2} + 3 + 3 x) (x^{2} + 3 - 3 x)

= (x^{2} + 3 x + 3) (x^{2} - 3 x + 3)

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Frequently Asked Questions (FAQ)

What is factor x^4-3x^2+9 ?
The solution to factor x^4-3x^2+9 is (x^2+3x+3)(x^2-3x+3)