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Popular >

factor x^4-15x^2+54

Solution

factor

x^{4} - 15 x^{2} + 54

Solution

(x^{2} - 6) (x + 3) (x - 3)

Solution steps

x^{4} - 15 x^{2} + 54

Let

u = x^{2}

= u^{2} - 15 u + 54

Factor

u^{2} - 15 u + 54 : (u - 6) (u - 9)

= (u - 6) (u - 9)

Substitute back

u = x^{2}

= (x^{2} - 6) (x^{2} - 9)

Factor

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

= (x^{2} - 6) (x + 3) (x - 3)

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Frequently Asked Questions (FAQ)

What is factor x^4-15x^2+54 ?
The solution to factor x^4-15x^2+54 is (x^2-6)(x+3)(x-3)