What is factor x^4+16x^3+96x^2+256x+256 ?

The solution to factor x^4+16x^3+96x^2+256x+256 is (x+4)^4

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factor x^4+16x^3+96x^2+256x+256

factor

x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256

(x + 4)^{4}

Solution steps

x^{4} + 16 x^{3} + 96 x^{2} + 256 x + 256

Use the rational root theorem

= (x + 4) \frac{x ^{4} + 16 x ^{3} + 96 x ^{2} + 256 x + 256}{x + 4}

\frac{x ^{4} + 16 x ^{3} + 96 x ^{2} + 256 x + 256}{x + 4} = x^{3} + 12 x^{2} + 48 x + 64

= (x + 4) (x^{3} + 12 x^{2} + 48 x + 64)

Factor

x^{3} + 12 x^{2} + 48 x + 64 : (x + 4)^{3}

= (x + 4) (x + 4)^{3}

Simplify

(x + 4) (x + 4)^{3} : (x + 4)^{4}

= (x + 4)^{4}

(x + 3) (3 x - 4)

\frac{13}{20} + \frac{3}{20}

\frac{( x ^{2} - 3 x - 40 )}{( x + 5 )}

sec (x) sin (x) cot (x)

What is factor x^4+16x^3+96x^2+256x+256 ?
The solution to factor x^4+16x^3+96x^2+256x+256 is (x+4)^4