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Factor polynomial:
x^3-x^2-x+20
x^3-x-2*x^2
x^3-x^2-3*x+27
x^3-x^2-3*x+2
Least common denominator:
m^2-4/m^2+6*m+9*m+3/m-2
exp(x)/(2*sqrt(1-exp(2*x)/4))
exp(x)/2+exp(-x)/2
exp(x)/(1-x)+exp(x)/(1-x)^2
Factor squared:
y^2+13*y*b-4*b^2
y^2-12*y*x+7*x^2
-y^2+10*y*x+x^2
y^2-11*y+1
How do you in partial fractions?:
(12*p+1)/(p^3+3*p^2+2*p+3)
atan(((2*sin(2*x))/(1+cos(2*x))+1)/sqrt(3))/sqrt(3)
(7-5*m)/(m-4)+4*m/(m+4)*(m*m-16)/(4*m)+(9*m-23)/(m-4)
((5*c-c^2)/(25*c^2-10*c+1)+4/(1-25*c^2)):(1-(3/(5c-1)))
Identical expressions
x^ three + ten *x^ two +x+ one
x cubed plus 10 multiply by x squared plus x plus 1
x to the power of three plus ten multiply by x to the power of two plus x plus one
x3+10*x2+x+1
x³+10*x²+x+1
x to the power of 3+10*x to the power of 2+x+1
x^3+10x^2+x+1
x3+10x2+x+1
Similar expressions
x^3+10*x^2-x+1
x^3+10*x^2+x-1
x^3-10*x^2+x+1

Expression simplification/ Factorization polynomials/ x^3+10*x^2+x+1

Factor polynomial x^3+10*x^2+x+1

The solution

You have entered [src]

 3       2        
x  + 10*x  + x + 1

$$\left(x + \left(x^{3} + 10 x^{2}\right)\right) + 1$$

x^3 + 10*x^2 + x + 1

Factorization [src]

/                                                          __________________                \ /                                                          __________________                \ /                                          __________________\
|                                                         /             ____  /          ___\| |                                                         /             ____  /          ___\| |                                         /             ____ |
|                                                        /  1937   33*\/ 93   |  1   I*\/ 3 || |                                                        /  1937   33*\/ 93   |  1   I*\/ 3 || |                                        /  1937   33*\/ 93  |
|                                                     3 /   ---- + --------- *|- - - -------|| |                                                     3 /   ---- + --------- *|- - + -------|| |                                     3 /   ---- + --------- |
|    10                       97                      \/     2         2      \  2      2   /| |    10                       97                      \/     2         2      \  2      2   /| |    10               97              \/     2         2     |
|x + -- + ----------------------------------------- + ---------------------------------------|*|x + -- + ----------------------------------------- + ---------------------------------------|*|x + -- + ------------------------- + -----------------------|
|    3                           __________________                      3                   | |    3                           __________________                      3                   | |    3           __________________              3           |
|           /          ___\     /             ____                                           | |           /          ___\     /             ____                                           | |               /             ____                           |
|           |  1   I*\/ 3 |    /  1937   33*\/ 93                                            | |           |  1   I*\/ 3 |    /  1937   33*\/ 93                                            | |              /  1937   33*\/ 93                            |
|         3*|- - - -------|*3 /   ---- + ---------                                           | |         3*|- - + -------|*3 /   ---- + ---------                                           | |         3*3 /   ---- + ---------                           |
\           \  2      2   / \/     2         2                                               / \           \  2      2   / \/     2         2                                               / \           \/     2         2                               /

$$\left(x + \left(\frac{10}{3} + \frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{33 \sqrt{93}}{2} + \frac{1937}{2}}}{3} + \frac{97}{3 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{33 \sqrt{93}}{2} + \frac{1937}{2}}}\right)\right) \left(x + \left(\frac{10}{3} + \frac{97}{3 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{33 \sqrt{93}}{2} + \frac{1937}{2}}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{33 \sqrt{93}}{2} + \frac{1937}{2}}}{3}\right)\right) \left(x + \left(\frac{97}{3 \sqrt[3]{\frac{33 \sqrt{93}}{2} + \frac{1937}{2}}} + \frac{10}{3} + \frac{\sqrt[3]{\frac{33 \sqrt{93}}{2} + \frac{1937}{2}}}{3}\right)\right)$$

((x + 10/3 + 97/(3*(-1/2 - i*sqrt(3)/2)*(1937/2 + 33*sqrt(93)/2)^(1/3)) + (1937/2 + 33*sqrt(93)/2)^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x + 10/3 + 97/(3*(-1/2 + i*sqrt(3)/2)*(1937/2 + 33*sqrt(93)/2)^(1/3)) + (1937/2 + 33*sqrt(93)/2)^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x + 10/3 + 97/(3*(1937/2 + 33*sqrt(93)/2)^(1/3)) + (1937/2 + 33*sqrt(93)/2)^(1/3)/3)

General simplification [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

Trigonometric part [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

Powers [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

Combining rational expressions [src]

1 + x*(1 + x*(10 + x))

$$x \left(x \left(x + 10\right) + 1\right) + 1$$

1 + x*(1 + x*(10 + x))

Combinatorics [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

Rational denominator [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

Assemble expression [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

Numerical answer [src]

1.0 + x + x^3 + 10.0*x^2

1.0 + x + x^3 + 10.0*x^2

Common denominator [src]

         3       2
1 + x + x  + 10*x

$$x^{3} + 10 x^{2} + x + 1$$

1 + x + x^3 + 10*x^2

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How to use it?

Identical expressions

Similar expressions

Factor polynomial x^3+10*x^2+x+1

The solution