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Popular >

factor x^4-21x^2-100

Solution

factor

x^{4} - 21 x^{2} - 100

Solution

(x^{2} + 4) (x + 5) (x - 5)

Solution steps

x^{4} - 21 x^{2} - 100

Let

u = x^{2}

= u^{2} - 21 u - 100

Factor

u^{2} - 21 u - 100 : (u + 4) (u - 25)

= (u + 4) (u - 25)

Substitute back

u = x^{2}

= (x^{2} + 4) (x^{2} - 25)

Factor

x^{2} - 25 : (x + 5) (x - 5)

= (x^{2} + 4) (x + 5) (x - 5)

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Frequently Asked Questions (FAQ)

What is factor x^4-21x^2-100 ?
The solution to factor x^4-21x^2-100 is (x^2+4)(x+5)(x-5)