Mister Exam
Other calculators
-
How to use it?
- Factor polynomial:
- x^3+y^3
- x^2-3*x+2
- x^3-x^2-x-2
- x^3-x^2-x^3+2
- Least common denominator:
- x^4/4+5*x^2/2-4*x
- (pi*a^2+pi/4)/(pi*a^2+pi/2)
- (5/s)*(2/((1/5)*s+1))*(1/(s+1))
- x^2*log(x)/2-x^2/4
- Factor squared:
- -y^4-y^2+4
- -y^4-y^2-3
- y^4+y^2+6
- x^2-x-3
- How do you in partial fractions?:
- (5/s)*(2/((1/5)*s+1))*(1/(s+1))
- (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)
- (m^2-1)/(m+1)
- Derivative of:
-
x^5-32
-
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
-
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)