Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- z^3+i^3
- z^3+8/125
- z^3-6*z^2+5*z+12
- z^3+5*z^2+17*z+13
- Least common denominator:
- ((y/x-y)+(x/x+y))*((x^2/y^2)+(y^2/x^2)-2)
- (y/(x*y-x^2)+x/(x*y-y^2))/(x^2+2*x*y+y^2/(1/x+1/y))
- y-b/(a-a*b)-(y-a)/a*b-b
- (y/5*x-5*x-y)/(y+5*x)
- Factor squared:
- -y^4+8*y^2+15
- -y^4+8*y^2-1
- -y^4+9*y^2+6
- -y^4+7*y^2+6
- How do you in partial fractions?:
- 2*(-4+3*(-1+2*x)/(-1+x))/(-1+x)^3
- -1/x+x/(2*x+3)
- 1/(2*sqrt(x)*(1+x))
- (y/(x-y)+x/(x+y))/(1/x^2+1/y^2)-y^4/(x^2-y^2)
- Integral of d{x}:
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x^3-x+2
- Graphing y =:
- x^3-x+2
- Derivative of:
- x^3-x+2
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Identical expressions
- x^ three -x+ two
- x cubed minus x plus 2
- x to the power of three minus x plus two
- x3-x+2
- x³-x+2
- x to the power of 3-x+2
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Similar expressions
- x^3+x+2
- x^3-x-2
Factor polynomial x^3-x+2
The solution
Factorization
[src]
/ _______________ / ___\\ / _______________ / ___\\ | 3 / ____ | 1 I*\/ 3 || | 3 / ____ | 1 I*\/ 3 || / _______________\ | \/ 27 + 3*\/ 78 *|- - - -------|| | \/ 27 + 3*\/ 78 *|- - + -------|| | 3 / ____ | | 1 \ 2 2 /| | 1 \ 2 2 /| | 1 \/ 27 + 3*\/ 78 | |x + ---------------------------------- + ----------------------------------|*|x + ---------------------------------- + ----------------------------------|*|x + ------------------ + ------------------| | _______________ / ___\ 3 | | _______________ / ___\ 3 | | _______________ 3 | | 3 / ____ | 1 I*\/ 3 | | | 3 / ____ | 1 I*\/ 3 | | | 3 / ____ | | \/ 27 + 3*\/ 78 *|- - - -------| | | \/ 27 + 3*\/ 78 *|- - + -------| | \ \/ 27 + 3*\/ 78 / \ \ 2 2 / / \ \ 2 2 / /
$$\left(x + \left(\frac{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}}{3} + \frac{1}{\left(- \frac{1}{2} - \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}}\right)\right) \left(x + \left(\frac{1}{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}} + \frac{\left(- \frac{1}{2} + \frac{\sqrt{3} i}{2}\right) \sqrt[3]{3 \sqrt{78} + 27}}{3}\right)\right) \left(x + \left(\frac{1}{\sqrt[3]{3 \sqrt{78} + 27}} + \frac{\sqrt[3]{3 \sqrt{78} + 27}}{3}\right)\right)$$
((x + 1/((27 + 3*sqrt(78))^(1/3)*(-1/2 - i*sqrt(3)/2)) + (27 + 3*sqrt(78))^(1/3)*(-1/2 - i*sqrt(3)/2)/3)*(x + 1/((27 + 3*sqrt(78))^(1/3)*(-1/2 + i*sqrt(3)/2)) + (27 + 3*sqrt(78))^(1/3)*(-1/2 + i*sqrt(3)/2)/3))*(x + (27 + 3*sqrt(78))^(-1/3) + (27 + 3*sqrt(78))^(1/3)/3)
Combining rational expressions
[src]
/ 2\ 2 + x*\-1 + x /
$$x \left(x^{2} - 1\right) + 2$$
2 + x*(-1 + x^2)