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Factor polynomial y^3+y^2+y+1

You have entered [src]

 3    2        
y  + y  + y + 1

$$\left(y + \left(y^{3} + y^{2}\right)\right) + 1$$

y^3 + y^2 + y + 1

General simplification [src]

         2    3
1 + y + y  + y

$$y^{3} + y^{2} + y + 1$$

1 + y + y^2 + y^3

Factorization [src]

(x + 1)*(x + I)*(x - I)

$$\left(x + 1\right) \left(x + i\right) \left(x - i\right)$$

((x + 1)*(x + i))*(x - i)

Trigonometric part [src]

         2    3
1 + y + y  + y

$$y^{3} + y^{2} + y + 1$$

1 + y + y^2 + y^3

Rational denominator [src]

         2    3
1 + y + y  + y

$$y^{3} + y^{2} + y + 1$$

1 + y + y^2 + y^3

Powers [src]

         2    3
1 + y + y  + y

$$y^{3} + y^{2} + y + 1$$

1 + y + y^2 + y^3

Common denominator [src]

         2    3
1 + y + y  + y

$$y^{3} + y^{2} + y + 1$$

1 + y + y^2 + y^3

Assemble expression [src]

         2    3
1 + y + y  + y

$$y^{3} + y^{2} + y + 1$$

1 + y + y^2 + y^3

Numerical answer [src]

1.0 + y + y^2 + y^3

1.0 + y + y^2 + y^3

Combining rational expressions [src]

1 + y*(1 + y*(1 + y))

$$y \left(y \left(y + 1\right) + 1\right) + 1$$

1 + y*(1 + y*(1 + y))

Combinatorics [src]

        /     2\
(1 + y)*\1 + y /

$$\left(y + 1\right) \left(y^{2} + 1\right)$$

(1 + y)*(1 + y^2)