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Expression simplification/ Factorization polynomials/ x^4-4*x^3-6*x^2+4*x+5

Factor polynomial x^4-4*x^3-6*x^2+4*x+5

An expression to simplify:

The solution

You have entered [src] 
 4      3      2          
x  - 4*x  - 6*x  + 4*x + 5
$$\left(4 x + \left(- 6 x^{2} + \left(x^{4} - 4 x^{3}\right)\right)\right) + 5$$ 
x^4 - 4*x^3 - 6*x^2 + 4*x + 5
General simplification [src] 
     4      2      3      
5 + x  - 6*x  - 4*x  + 4*x
$$x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5$$ 
5 + x^4 - 6*x^2 - 4*x^3 + 4*x
Factorization [src] 
(x + 1)*(x - 1)*(x - 5)
$$\left(x - 1\right) \left(x + 1\right) \left(x - 5\right)$$ 
((x + 1)*(x - 1))*(x - 5)
Powers [src] 
     4      2      3      
5 + x  - 6*x  - 4*x  + 4*x
$$x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5$$ 
5 + x^4 - 6*x^2 - 4*x^3 + 4*x
Numerical answer [src] 
5.0 + x^4 + 4.0*x - 4.0*x^3 - 6.0*x^2
5.0 + x^4 + 4.0*x - 4.0*x^3 - 6.0*x^2
Common denominator [src] 
     4      2      3      
5 + x  - 6*x  - 4*x  + 4*x
$$x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5$$ 
5 + x^4 - 6*x^2 - 4*x^3 + 4*x
Combinatorics [src] 
       2                  
(1 + x) *(-1 + x)*(-5 + x)
$$\left(x - 5\right) \left(x - 1\right) \left(x + 1\right)^{2}$$ 
(1 + x)^2*(-1 + x)*(-5 + x)
Assemble expression [src] 
     4      2      3      
5 + x  - 6*x  - 4*x  + 4*x
$$x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5$$ 
5 + x^4 - 6*x^2 - 4*x^3 + 4*x
Trigonometric part [src] 
     4      2      3      
5 + x  - 6*x  - 4*x  + 4*x
$$x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5$$ 
5 + x^4 - 6*x^2 - 4*x^3 + 4*x
Rational denominator [src] 
     4      2      3      
5 + x  - 6*x  - 4*x  + 4*x
$$x^{4} - 4 x^{3} - 6 x^{2} + 4 x + 5$$ 
5 + x^4 - 6*x^2 - 4*x^3 + 4*x
Combining rational expressions [src] 
5 + x*(4 + x*(-6 + x*(-4 + x)))
$$x \left(x \left(x \left(x - 4\right) - 6\right) + 4\right) + 5$$ 
5 + x*(4 + x*(-6 + x*(-4 + x)))
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