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Factor polynomial:
x^4+1
x^3-1^3+3^3-x^3
y^2/2+y^23/23
-x^7+x^6/4+9*x*5/8-9*x^4/32-x^3/8+x^2/32
Least common denominator:
(a+1/a+2)/a+1
1/(1+x^2/3)
(z/x-z+x+z/z)/x/x^2-z^2
(z/x-z+x+z/z)/x/x^2-x*z^2
Factor squared:
y^4-y^2-3
x^2+x-2
y^2-4*y+3
x^2+x-3
How do you in partial fractions?:
z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
sqrt(b)-(b-1/b^2)/(sqrt(b)-1/sqrt(b))+(1-1/b^2)/(sqrt(b)+1/sqrt(b))+2/b^(3/2)
sqrt((625*x^4+25*10^10*x^2)/(1+25*x^2))
3/(x^3+5)-9*x^3/(x^3+5)^2
Identical expressions
-x^ seven +x^ six / four + nine *x* five / eight - nine *x^ four / thirty-two -x^ three / eight +x^ two / thirty-two
minus x to the power of 7 plus x to the power of 6 divide by 4 plus 9 multiply by x multiply by 5 divide by 8 minus 9 multiply by x to the power of 4 divide by 32 minus x cubed divide by 8 plus x squared divide by 32
minus x to the power of seven plus x to the power of six divide by four plus nine multiply by x multiply by five divide by eight minus nine multiply by x to the power of four divide by thirty minus two minus x to the power of three divide by eight plus x to the power of two divide by thirty minus two
-x7+x6/4+9*x*5/8-9*x4/32-x3/8+x2/32
-x⁷+x⁶/4+9*x*5/8-9*x⁴/32-x³/8+x²/32
-x to the power of 7+x to the power of 6/4+9*x*5/8-9*x to the power of 4/32-x to the power of 3/8+x to the power of 2/32
-x^7+x^6/4+9x5/8-9x^4/32-x^3/8+x^2/32
-x7+x6/4+9x5/8-9x4/32-x3/8+x2/32
-x^7+x^6 divide by 4+9*x*5 divide by 8-9*x^4 divide by 32-x^3 divide by 8+x^2 divide by 32
Similar expressions
-x^7-x^6/4+9*x*5/8-9*x^4/32-x^3/8+x^2/32
x^7+x^6/4+9*x*5/8-9*x^4/32-x^3/8+x^2/32
-x^7+x^6/4+9*x*5/8-9*x^4/32+x^3/8+x^2/32
-x^7+x^6/4+9*x*5/8+9*x^4/32-x^3/8+x^2/32
-x^7+x^6/4-9*x*5/8-9*x^4/32-x^3/8+x^2/32
-x^7+x^6/4+9*x*5/8-9*x^4/32-x^3/8-x^2/32

Expression simplification/ Factorization polynomials/ -x^7+x^6/4+9*x*5/8-9*x^4/32-x^3/8+x^2/32

Factor polynomial -x^7+x^6/4+9x5/8-9*x^4/32-x^3/8+x^2/32

The solution

You have entered [src]

        6              4    3    2
   7   x    9*x*5   9*x    x    x 
- x  + -- + ----- - ---- - -- + --
       4      8      32    8    32

$$\frac{x^{2}}{32} + \left(- \frac{x^{3}}{8} + \left(- \frac{9 x^{4}}{32} + \left(\frac{5 \cdot 9 x}{8} + \left(- x^{7} + \frac{x^{6}}{4}\right)\right)\right)\right)$$

-x^7 + x^6/4 + (9*x)*5/8 - 9*x^4/32 - x^3/8 + x^2/32

Fraction decomposition [src]

-x^7 - 9*x^4/32 - x^3/8 + x^6/4 + x^2/32 + 45*x/8

$$- x^{7} + \frac{x^{6}}{4} - \frac{9 x^{4}}{32} - \frac{x^{3}}{8} + \frac{x^{2}}{32} + \frac{45 x}{8}$$

          4    3    6    2       
   7   9*x    x    x    x    45*x
- x  - ---- - -- + -- + -- + ----
        32    8    4    32    8

General simplification [src]

  /              6      3      2      5\
x*\180 + x - 32*x  - 9*x  - 4*x  + 8*x /
----------------------------------------
                   32

$$\frac{x \left(- 32 x^{6} + 8 x^{5} - 9 x^{3} - 4 x^{2} + x + 180\right)}{32}$$

x*(180 + x - 32*x^6 - 9*x^3 - 4*x^2 + 8*x^5)/32

Factorization [src]

  /           /    6      5      3      2             \\ /           /    6      5      3      2             \\ /           /    6      5      3      2             \\ /           /    6      5      3      2             \\ /           /    6      5      3      2             \\ /           /    6      5      3      2             \\
x*\x - CRootOf\32*x  - 8*x  + 9*x  + 4*x  - x - 180, 0//*\x - CRootOf\32*x  - 8*x  + 9*x  + 4*x  - x - 180, 1//*\x - CRootOf\32*x  - 8*x  + 9*x  + 4*x  - x - 180, 2//*\x - CRootOf\32*x  - 8*x  + 9*x  + 4*x  - x - 180, 3//*\x - CRootOf\32*x  - 8*x  + 9*x  + 4*x  - x - 180, 4//*\x - CRootOf\32*x  - 8*x  + 9*x  + 4*x  - x - 180, 5//

$$x \left(x - \operatorname{CRootOf} {\left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180, 0\right)}\right) \left(x - \operatorname{CRootOf} {\left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180, 1\right)}\right) \left(x - \operatorname{CRootOf} {\left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180, 2\right)}\right) \left(x - \operatorname{CRootOf} {\left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180, 3\right)}\right) \left(x - \operatorname{CRootOf} {\left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180, 4\right)}\right) \left(x - \operatorname{CRootOf} {\left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180, 5\right)}\right)$$

(((((x*(x - CRootOf(32*x^6 - 8*x^5 + 9*x^3 + 4*x^2 - x - 180, 0)))*(x - CRootOf(32*x^6 - 8*x^5 + 9*x^3 + 4*x^2 - x - 180, 1)))*(x - CRootOf(32*x^6 - 8*x^5 + 9*x^3 + 4*x^2 - x - 180, 2)))*(x - CRootOf(32*x^6 - 8*x^5 + 9*x^3 + 4*x^2 - x - 180, 3)))*(x - CRootOf(32*x^6 - 8*x^5 + 9*x^3 + 4*x^2 - x - 180, 4)))*(x - CRootOf(32*x^6 - 8*x^5 + 9*x^3 + 4*x^2 - x - 180, 5))

Assemble expression [src]

          4    3    6    2       
   7   9*x    x    x    x    45*x
- x  - ---- - -- + -- + -- + ----
        32    8    4    32    8

$$- x^{7} + \frac{x^{6}}{4} - \frac{9 x^{4}}{32} - \frac{x^{3}}{8} + \frac{x^{2}}{32} + \frac{45 x}{8}$$

-x^7 - 9*x^4/32 - x^3/8 + x^6/4 + x^2/32 + 45*x/8

Common denominator [src]

          4    3    6    2       
   7   9*x    x    x    x    45*x
- x  - ---- - -- + -- + -- + ----
        32    8    4    32    8

$$- x^{7} + \frac{x^{6}}{4} - \frac{9 x^{4}}{32} - \frac{x^{3}}{8} + \frac{x^{2}}{32} + \frac{45 x}{8}$$

-x^7 - 9*x^4/32 - x^3/8 + x^6/4 + x^2/32 + 45*x/8

Numerical answer [src]

-x^7 + 0.03125*x^2 + 0.25*x^6 + 5.625*x - 0.125*x^3 - 0.28125*x^4

-x^7 + 0.03125*x^2 + 0.25*x^6 + 5.625*x - 0.125*x^3 - 0.28125*x^4

Rational denominator [src]

        7         4         3        2         6          
- 8192*x  - 2304*x  - 1024*x  + 256*x  + 2048*x  + 46080*x
----------------------------------------------------------
                           8192

$$\frac{- 8192 x^{7} + 2048 x^{6} - 2304 x^{4} - 1024 x^{3} + 256 x^{2} + 46080 x}{8192}$$

(-8192*x^7 - 2304*x^4 - 1024*x^3 + 256*x^2 + 2048*x^6 + 46080*x)/8192

Combining rational expressions [src]

  /             3      2      5          \
x*\180 + x - 9*x  - 4*x  + 8*x *(1 - 4*x)/
------------------------------------------
                    32

$$\frac{x \left(8 x^{5} \left(1 - 4 x\right) - 9 x^{3} - 4 x^{2} + x + 180\right)}{32}$$

x*(180 + x - 9*x^3 - 4*x^2 + 8*x^5*(1 - 4*x))/32

Powers [src]

          4    3    6    2       
   7   9*x    x    x    x    45*x
- x  - ---- - -- + -- + -- + ----
        32    8    4    32    8

$$- x^{7} + \frac{x^{6}}{4} - \frac{9 x^{4}}{32} - \frac{x^{3}}{8} + \frac{x^{2}}{32} + \frac{45 x}{8}$$

-x^7 - 9*x^4/32 - x^3/8 + x^6/4 + x^2/32 + 45*x/8

Combinatorics [src]

   /              5      2      3       6\ 
-x*\-180 - x - 8*x  + 4*x  + 9*x  + 32*x / 
-------------------------------------------
                     32

$$- \frac{x \left(32 x^{6} - 8 x^{5} + 9 x^{3} + 4 x^{2} - x - 180\right)}{32}$$

-x*(-180 - x - 8*x^5 + 4*x^2 + 9*x^3 + 32*x^6)/32

Trigonometric part [src]

          4    3    6    2       
   7   9*x    x    x    x    45*x
- x  - ---- - -- + -- + -- + ----
        32    8    4    32    8

$$- x^{7} + \frac{x^{6}}{4} - \frac{9 x^{4}}{32} - \frac{x^{3}}{8} + \frac{x^{2}}{32} + \frac{45 x}{8}$$

-x^7 - 9*x^4/32 - x^3/8 + x^6/4 + x^2/32 + 45*x/8

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Identical expressions

Similar expressions

Factor polynomial -x^7+x^6/4+9*x*5/8-9*x^4/32-x^3/8+x^2/32

The solution

Factor polynomial -x^7+x^6/4+9x5/8-9*x^4/32-x^3/8+x^2/32