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There is a polynomial in the form ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g.

The product of this polynomial's roots is negative.

Explain why the equation has at least one positive root.

 Feb 6, 2021
 #1
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Since it is 6th degree it will have six roots....if they were all negative, the product of them would be a positive number.

 Feb 6, 2021

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