Mister Exam
Other calculators
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How to use it?
- Factor polynomial:
- x1^2+x2^2
- x^3+7*x^2+15*x+9
- x^4+1
- x^3+5*x^2+7*x+3
- Least common denominator:
- ((x+1)^2*(8*x-4))^(1/3)*(8*(x+1)^2/3+(2+2*x)*(8*x-4)/3)/((x+1)^2*(8*x-4))
- (a/5+a/2)*a^2/6
- z/(z+9)^2-z/(z^2-81)
- -x^2/(x-2)^2+2*x/(x-2)
- Factor squared:
- -y^4+y^2-3
- y^4-12*y^2+7
- p^4+9*p^2+5
- x^2+3*y*x+2*y^2
- How do you in partial fractions?:
- z/(z+9)^2-z/(z^2-81)
- z-2/4*z^2+16*z+16/(z/2*z-4-z^2+4/2*z^2-8-2/z^2+2*z)
- (x^2-5*x+6)/(x-3)
- 1/(2*sqrt(x))
- Derivative of:
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x^4+1
- Graphing y =:
- x^4+1
- Canonical form:
- x^4+1
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Identical expressions
- x^ four + one
- x to the power of 4 plus 1
- x to the power of four plus one
- x4+1
- x⁴+1
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Similar expressions
- x^4-1
Factor polynomial x^4+1
The solution
Factorization
[src]
/ ___ ___\ / ___ ___\ / ___ ___\ / ___ ___\ | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | | \/ 2 I*\/ 2 | |x + ----- + -------|*|x + ----- - -------|*|x + - ----- + -------|*|x + - ----- - -------| \ 2 2 / \ 2 2 / \ 2 2 / \ 2 2 /
$$\left(x + \left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(\frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(x + \left(- \frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right)$$
(((x + sqrt(2)/2 + i*sqrt(2)/2)*(x + sqrt(2)/2 - i*sqrt(2)/2))*(x - sqrt(2)/2 + i*sqrt(2)/2))*(x - sqrt(2)/2 - i*sqrt(2)/2)