In addition, the polynomial is shown graphically with all its real zeros.

According to the fundamental theorem of algebra, an nth degree polynomial has a maximum of n

If one also counts

For quadratic, cubic and even quartic polynomials zeros can be calculated analytically. For polynomials of degree greater 4 this is in general possible only

An nth degree polynomial is defined here via its n + 1 coefficients. Coefficients can of course also be 0.

Alternatively, the polynomial can also be entered directly as the sum of powers of x (with ^ as the power operator).

For example, the following 2 alternatives are possible to define the same 5th degree polynomial:

x^5 - 8x^3 + 2x + 1

Polynom |

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