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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 - four *x^ two - nine *x- thirty-six
x cubed minus 4 multiply by x squared minus 9 multiply by x minus 36
x to the power of three minus four multiply by x to the power of two minus nine multiply by x minus thirty minus six
x3-4*x2-9*x-36
x³-4*x²-9*x-36
x to the power of 3-4*x to the power of 2-9*x-36
x^3-4x^2-9x-36
x3-4x2-9x-36
Similar expressions
x^3-4*x^2-9*x+36
x^3-4*x^2+9*x-36
x^3+4*x^2-9*x-36

Expression simplification/ Factorization polynomials/ x^3-4*x^2-9*x-36

Factor polynomial x^3-4x^2-9x-36

The solution

You have entered [src]

 3      2           
x  - 4*x  - 9*x - 36

$$\left(- 9 x + \left(x^{3} - 4 x^{2}\right)\right) - 36$$

x^3 - 4*x^2 - 9*x - 36

Factorization [src]

/               ________________                                                          \ /               ________________                                                          \ /               ________________                          \
|              /         ______  /          ___\                                          | |              /         ______  /          ___\                                          | |              /         ______                           |
|      4      /  712   \/ 5277   |  1   I*\/ 3 |                      43                  | |      4      /  712   \/ 5277   |  1   I*\/ 3 |                      43                  | |      4      /  712   \/ 5277                43          |
|x + - - - 3 /   --- + -------- *|- - - -------| - ---------------------------------------|*|x + - - - 3 /   --- + -------- *|- - + -------| - ---------------------------------------|*|x + - - - 3 /   --- + --------  - -----------------------|
|      3   \/     27      3      \  2      2   /                          ________________| |      3   \/     27      3      \  2      2   /                          ________________| |      3   \/     27      3               ________________|
|                                                    /          ___\     /         ______ | |                                                    /          ___\     /         ______ | |                                        /         ______ |
|                                                    |  1   I*\/ 3 |    /  712   \/ 5277  | |                                                    |  1   I*\/ 3 |    /  712   \/ 5277  | |                                       /  712   \/ 5277  |
|                                                  9*|- - - -------|*3 /   --- + -------- | |                                                  9*|- - + -------|*3 /   --- + -------- | |                                  9*3 /   --- + -------- |
\                                                    \  2      2   / \/     27      3     / \                                                    \  2      2   / \/     27      3     / \                                    \/     27      3     /

$$\left(x + \left(- \frac{4}{3} - \frac{43}{9 \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{5277}}{3} + \frac{712}{27}}} - \left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{5277}}{3} + \frac{712}{27}}\right)\right) \left(x + \left(- \frac{4}{3} - \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{5277}}{3} + \frac{712}{27}} - \frac{43}{9 \left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{\frac{\sqrt{5277}}{3} + \frac{712}{27}}}\right)\right) \left(x + \left(- \sqrt[3]{\frac{\sqrt{5277}}{3} + \frac{712}{27}} - \frac{4}{3} - \frac{43}{9 \sqrt[3]{\frac{\sqrt{5277}}{3} + \frac{712}{27}}}\right)\right)$$

((x - 4/3 - (712/27 + sqrt(5277)/3)^(1/3)*(-1/2 - i*sqrt(3)/2) - 43/(9*(-1/2 - i*sqrt(3)/2)*(712/27 + sqrt(5277)/3)^(1/3)))*(x - 4/3 - (712/27 + sqrt(5277)/3)^(1/3)*(-1/2 + i*sqrt(3)/2) - 43/(9*(-1/2 + i*sqrt(3)/2)*(712/27 + sqrt(5277)/3)^(1/3))))*(x - 4/3 - (712/27 + sqrt(5277)/3)^(1/3) - 43/(9*(712/27 + sqrt(5277)/3)^(1/3)))

General simplification [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Combinatorics [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Combining rational expressions [src]

-36 + x*(-9 + x*(-4 + x))

$$x \left(x \left(x - 4\right) - 9\right) - 36$$

-36 + x*(-9 + x*(-4 + x))

Trigonometric part [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Powers [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Common denominator [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Rational denominator [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Assemble expression [src]

       3            2
-36 + x  - 9*x - 4*x

$$x^{3} - 4 x^{2} - 9 x - 36$$

-36 + x^3 - 9*x - 4*x^2

Numerical answer [src]

-36.0 + x^3 - 4.0*x^2 - 9.0*x

-36.0 + x^3 - 4.0*x^2 - 9.0*x

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Identical expressions

Similar expressions

Factor polynomial x^3-4*x^2-9*x-36

The solution

Factor polynomial x^3-4x^2-9x-36