Mister Exam

Other calculators

Factor polynomial x+9*x^4/4+27*x^7/7+27*x^10/10

An expression to simplify:

The solution

You have entered [src]
       4       7           
    9*x    27*x       10___
x + ---- + ----- + 27*\/ x 
     4       7             
$$27 \sqrt[10]{x} + \left(\frac{27 x^{7}}{7} + \left(x + \frac{9 x^{4}}{4}\right)\right)$$
x + (9*x^4)/4 + (27*x^7)/7 + 27*x^(1/10)
General simplification [src]
                  4       7
       10___   9*x    27*x 
x + 27*\/ x  + ---- + -----
                4       7  
$$27 \sqrt[10]{x} + \frac{27 x^{7}}{7} + \frac{9 x^{4}}{4} + x$$
x + 27*x^(1/10) + 9*x^4/4 + 27*x^7/7
Powers [src]
                  4       7
       10___   9*x    27*x 
x + 27*\/ x  + ---- + -----
                4       7  
$$27 \sqrt[10]{x} + \frac{27 x^{7}}{7} + \frac{9 x^{4}}{4} + x$$
x + 27*x^(1/10) + 9*x^4/4 + 27*x^7/7
Numerical answer [src]
x + 2.25*x^4 + 27.0*x^0.1 + 3.85714285714286*x^7
x + 2.25*x^4 + 27.0*x^0.1 + 3.85714285714286*x^7
Combining rational expressions [src]
    10___     /         3        6\
756*\/ x  + x*\28 + 63*x  + 108*x /
-----------------------------------
                 28                
$$\frac{756 \sqrt[10]{x} + x \left(108 x^{6} + 63 x^{3} + 28\right)}{28}$$
(756*x^(1/10) + x*(28 + 63*x^3 + 108*x^6))/28
Trigonometric part [src]
                  4       7
       10___   9*x    27*x 
x + 27*\/ x  + ---- + -----
                4       7  
$$27 \sqrt[10]{x} + \frac{27 x^{7}}{7} + \frac{9 x^{4}}{4} + x$$
x + 27*x^(1/10) + 9*x^4/4 + 27*x^7/7
Rational denominator [src]
           4        7       10___
28*x + 63*x  + 108*x  + 756*\/ x 
---------------------------------
                28               
$$\frac{756 \sqrt[10]{x} + 108 x^{7} + 63 x^{4} + 28 x}{28}$$
(28*x + 63*x^4 + 108*x^7 + 756*x^(1/10))/28
Common denominator [src]
                  4       7
       10___   9*x    27*x 
x + 27*\/ x  + ---- + -----
                4       7  
$$27 \sqrt[10]{x} + \frac{27 x^{7}}{7} + \frac{9 x^{4}}{4} + x$$
x + 27*x^(1/10) + 9*x^4/4 + 27*x^7/7
Combinatorics [src]
                  4       7
       10___   9*x    27*x 
x + 27*\/ x  + ---- + -----
                4       7  
$$27 \sqrt[10]{x} + \frac{27 x^{7}}{7} + \frac{9 x^{4}}{4} + x$$
x + 27*x^(1/10) + 9*x^4/4 + 27*x^7/7
Assemble expression [src]
                  4       7
       10___   9*x    27*x 
x + 27*\/ x  + ---- + -----
                4       7  
$$27 \sqrt[10]{x} + \frac{27 x^{7}}{7} + \frac{9 x^{4}}{4} + x$$
x + 27*x^(1/10) + 9*x^4/4 + 27*x^7/7