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Popular >

factor x^4-7x^2+1

Solution

factor

x^{4} - 7 x^{2} + 1

Solution

(x^{2} + 3 x + 1) (x^{2} - 3 x + 1)

Solution steps

x^{4} - 7 x^{2} + 1

Add and subtract

9 x^{2}

= x^{4} + 2 x^{2} + 1 - 9 x^{2}

Factor

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

= (x^{2} + 1)^{2} - 9 x^{2}

Factor

(x^{2} + 1)^{2} - 9 x^{2} : (x^{2} + 1 + 3 x) (x^{2} + 1 - 3 x)

= (x^{2} + 1 + 3 x) (x^{2} + 1 - 3 x)

= (x^{2} + 3 x + 1) (x^{2} - 3 x + 1)

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Frequently Asked Questions (FAQ)

What is factor x^4-7x^2+1 ?
The solution to factor x^4-7x^2+1 is (x^2+3x+1)(x^2-3x+1)