Mister Exam

# Factor polynomial x^5-x^7/7

An expression to simplify:

### The solution

You have entered [src]
      7
5   x
x  - --
7 
$$- \frac{x^{7}}{7} + x^{5}$$
x^5 - x^7/7
Fraction decomposition [src]
x^5 - x^7/7
$$- \frac{x^{7}}{7} + x^{5}$$
      7
5   x
x  - --
7 
Factorization [src]
  /      ___\ /      ___\
x*\x + \/ 7 /*\x - \/ 7 /
$$x \left(x + \sqrt{7}\right) \left(x - \sqrt{7}\right)$$
(x*(x + sqrt(7)))*(x - sqrt(7))
x^5 - 0.142857142857143*x^7
x^5 - 0.142857142857143*x^7
Combining rational expressions [src]
 5 /     2\
x *\7 - x /
-----------
7     
$$\frac{x^{5} \left(7 - x^{2}\right)}{7}$$
x^5*(7 - x^2)/7
Combinatorics [src]
  5 /      2\
-x *\-7 + x /
--------------
7       
$$- \frac{x^{5} \left(x^{2} - 7\right)}{7}$$
-x^5*(-7 + x^2)/7
Rational denominator [src]
   7      5
- x  + 7*x
-----------
7     
$$\frac{- x^{7} + 7 x^{5}}{7}$$
(-x^7 + 7*x^5)/7
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