If a ring is Noetherian, this type of ring over the original is also Noetherian by the Hilbert basis theorem.A splitting field is the smallest field extension for which a given one of these decomposes into linearfactors. The complex numbers are algebraically closed because these functions are always zero at least onepoint in that field. Synthetic division is applied to these functions. No general solution exists for certa
If a ring is Noetherian, this type of ring over the original is also Noetherian by the Hilbert basis theorem.A splitting field is the smallest field extension for which a given one of these decomposes into linearfactors. The complex numbers are algebraically closed because these functions are always zero at least onepoint in that field. Synthetic division is applied to these functions. No general solution exists for certaintypes of these functions by Abel's impossibility theorem. Descartes' rule of signs shows how many positiveor negative roots one of these can have. For 10 points, name these functions consisting of variables raisedto integer powers.
If a ring is Noetherian, this type of ring over the original is also Noetherian by the Hilbert basis theorem.
polynomial [prompt on rational function]