Mister Exam

Factor polynomial x^5+x^4/2

An expression to simplify:

The solution

You have entered [src]
      4
 5   x 
x  + --
     2 
$$x^{5} + \frac{x^{4}}{2}$$
x^5 + x^4/2
Fraction decomposition [src]
x^5 + x^4/2
$$x^{5} + \frac{x^{4}}{2}$$
      4
 5   x 
x  + --
     2 
General simplification [src]
 4          
x *(1/2 + x)
$$x^{4} \left(x + \frac{1}{2}\right)$$
x^4*(1/2 + x)
Factorization [src]
(x + 1/2)*x
$$x \left(x + \frac{1}{2}\right)$$
(x + 1/2)*x
Numerical answer [src]
x^5 + 0.5*x^4
x^5 + 0.5*x^4
Rational denominator [src]
 4      5
x  + 2*x 
---------
    2    
$$\frac{2 x^{5} + x^{4}}{2}$$
(x^4 + 2*x^5)/2
Combinatorics [src]
 4          
x *(1 + 2*x)
------------
     2      
$$\frac{x^{4} \left(2 x + 1\right)}{2}$$
x^4*(1 + 2*x)/2
Combining rational expressions [src]
 4          
x *(1 + 2*x)
------------
     2      
$$\frac{x^{4} \left(2 x + 1\right)}{2}$$
x^4*(1 + 2*x)/2