We will now restrict our discussion to polynomials in one variable. For any polynomial expression, the **zeroes** are those values of the variable for which the polynomial as a whole has *zero value*. Since we are restricted to the set of Reals, we will *always consider zeroes which have real values*. This means that even though a polynomial may have zeroes which are complex-valued, we will not be considering them. The following table shows some polynomial expressions and their zeroes:

Polynomial |
Zeroes |

\(x+2\) | \(-2\) |

\(x^2\;+\;3x\;+2\) | \(-1,-2\) |

\(x^3\;-\;6x^2\;+\;11x\;-6\) | \(1,2,3\) |

\(x^4\;+\;1\) | \(None\) |

We note that some polynomials may have no (real-valued) zeroes.

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