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Popular >

factor x^4-15x^2-16

Solution

factor

x^{4} - 15 x^{2} - 16

Solution

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

Solution steps

x^{4} - 15 x^{2} - 16

Let

u = x^{2}

= u^{2} - 15 u - 16

Factor

u^{2} - 15 u - 16 : (u + 1) (u - 16)

= (u + 1) (u - 16)

Substitute back

u = x^{2}

= (x^{2} + 1) (x^{2} - 16)

Factor

x^{2} - 16 : (x + 4) (x - 4)

= (x^{2} + 1) (x + 4) (x - 4)

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Frequently Asked Questions (FAQ)

What is factor x^4-15x^2-16 ?
The solution to factor x^4-15x^2-16 is (x^2+1)(x+4)(x-4)