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Expression simplification/ Factorization polynomials/ t^4+1

Factor polynomial t^4+1

An expression to simplify:

The solution

You have entered [src] 
 4    
t  + 1
$$t^{4} + 1$$ 
t^4 + 1
Factorization [src] 
/      ___       ___\ /      ___       ___\ /        ___       ___\ /        ___       ___\
|    \/ 2    I*\/ 2 | |    \/ 2    I*\/ 2 | |      \/ 2    I*\/ 2 | |      \/ 2    I*\/ 2 |
|t + ----- + -------|*|t + ----- - -------|*|t + - ----- + -------|*|t + - ----- - -------|
\      2        2   / \      2        2   / \        2        2   / \        2        2   /
$$\left(t + \left(\frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right) \left(t + \left(\frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(t + \left(- \frac{\sqrt{2}}{2} + \frac{\sqrt{2} i}{2}\right)\right) \left(t + \left(- \frac{\sqrt{2}}{2} - \frac{\sqrt{2} i}{2}\right)\right)$$ 
(((t + sqrt(2)/2 + i*sqrt(2)/2)*(t + sqrt(2)/2 - i*sqrt(2)/2))*(t - sqrt(2)/2 + i*sqrt(2)/2))*(t - sqrt(2)/2 - i*sqrt(2)/2)
Numerical answer [src] 
1.0 + t^4
1.0 + t^4
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