What is factor x^4+4x^3-64x-256 ?

The solution to factor x^4+4x^3-64x-256 is (x+4)(x-4)(x^2+4x+16)

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factor x^4+4x^3-64x-256

factor

x^{4} + 4 x^{3} - 64 x - 256

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

Solution steps

x^{4} + 4 x^{3} - 64 x - 256

= (x^{4} + 4 x^{3}) + (- 64 x - 256)

Factor out

x^{3}

from

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

Factor out

- 64

from

- 64 x - 256 : - 64 (x + 4)

= x^{3} (x + 4) - 64 (x + 4)

Factor out common term

x + 4

= (x + 4) (x^{3} - 64)

Factor

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

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

4^{2} = 16

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

x^{2} = 0.25

194 = 9 x + 68

x - 8 = 3 x + 2

\frac{( x + 2 ) ^{2}}{( x - 3 ) ( x - 7 )} \leq 0

7 b + 12 = 5 b

What is factor x^4+4x^3-64x-256 ?
The solution to factor x^4+4x^3-64x-256 is (x+4)(x-4)(x^2+4x+16)