# Using discriminant for seventeen degree polynomial

• Jul 28th 2009, 04:50 AM
Using discriminant for seventeen degree polynomial
I have seventeen degree polynomial. Can i know the number of roots from discriminant(>0,<0 or =0)...(Wondering)
• Jul 28th 2009, 05:06 AM
apcalculus
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I have seventeen degree polynomial. Can i know the number of roots from discriminant(>0,<0 or =0)...(Wondering)

If the degree is odd you know that there is at least one root from the Intermediate Value Theorem and the end behavior of odd-degreed polynomials. As far as I know a discriminant can only refer to the second-degree polynomial only.
• Jul 28th 2009, 05:17 AM
mr fantastic
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Originally Posted by apcalculus
If the degree is odd you know that there is at least one root from the Intermediate Value Theorem and the end behavior of odd-degreed polynomials. As far as I know a discriminant can only refer to the second-degree polynomial only.

Discriminant - Wikipedia, the free encyclopedia

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