Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- x^5+y^5+z^5
- x+x^8/8
- x-x^2
- x^5-32
- Least common denominator:
- 2/(a+2)+(a-2)/(a^2+4*a+4)/(a/(2*a-4)+(a^2+4)/(8-2*a)-2/(2*a+a^2))
- (234/(((7/20)*p+1)*(p+1)*((111/10)*p+1)))*((3/10)+10/p)
- (z*z-1/2*z)/(z*z-z+1)*z/(z-1/2)
- (z/x-z+x+z/z)/x/x^2-z^2
- Factor squared:
- -y^4+y^2-4
- y^4+y^2+3
- x^2-x+2
- x^2-x-3
- How do you in partial fractions?:
- (x^2-9)/(x+3)
- (z-3)/(z+3)*(z+(z^2)/(3-z))
- (y^2-16)/(4*y^2-y^3)
- (x^2-x-12)/(x+3)
- Derivative of:
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x^5-32
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Identical expressions
- x^ five - thirty-two
- x to the power of 5 minus 32
- x to the power of five minus thirty minus two
- x5-32
- x⁵-32
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Similar expressions
- x^5+32
Factor polynomial x^5-32
The solution
Factorization
[src]
/ ___________\ / ___________\ / ___________\ / ___________\
| ___ / ___ | | ___ / ___ | | ___ / ___ | | ___ / ___ |
| 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 / 5 \/ 5 | | 1 \/ 5 / 5 \/ 5 |
(x - 2)*|x + - - ----- + 2*I* / - + ----- |*|x + - - ----- - 2*I* / - + ----- |*|x + - + ----- + 2*I* / - - ----- |*|x + - + ----- - 2*I* / - - ----- |
\ 2 2 \/ 8 8 / \ 2 2 \/ 8 8 / \ 2 2 \/ 8 8 / \ 2 2 \/ 8 8 /
$$\left(x - 2\right) \left(x + \left(- \frac{\sqrt{5}}{2} + \frac{1}{2} + 2 i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}\right)\right) \left(x + \left(- \frac{\sqrt{5}}{2} + \frac{1}{2} - 2 i \sqrt{\frac{\sqrt{5}}{8} + \frac{5}{8}}\right)\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{5}}{2} + 2 i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right) \left(x + \left(\frac{1}{2} + \frac{\sqrt{5}}{2} - 2 i \sqrt{\frac{5}{8} - \frac{\sqrt{5}}{8}}\right)\right)$$
((((x - 2)*(x + 1/2 - sqrt(5)/2 + 2*i*sqrt(5/8 + sqrt(5)/8)))*(x + 1/2 - sqrt(5)/2 - 2*i*sqrt(5/8 + sqrt(5)/8)))*(x + 1/2 + sqrt(5)/2 + 2*i*sqrt(5/8 - sqrt(5)/8)))*(x + 1/2 + sqrt(5)/2 - 2*i*sqrt(5/8 - sqrt(5)/8))
Combinatorics
[src]
/ 4 3 2 \ (-2 + x)*\16 + x + 2*x + 4*x + 8*x/
$$\left(x - 2\right) \left(x^{4} + 2 x^{3} + 4 x^{2} + 8 x + 16\right)$$
(-2 + x)*(16 + x^4 + 2*x^3 + 4*x^2 + 8*x)