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What Are Zeroes in Polynomial Expressions?
What Are Zeroes in Polynomial Expressions?
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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