SOLUTION: If f(x)=-3x^4+x^10-x^7-23, then the largest amount of zeros (including multiplicities) that f could have is: 4, 10, 7, or 21?

Question 202902: If f(x)=-3x^4+x^10-x^7-23, then the largest amount of zeros (including multiplicities) that f could have is: 4, 10, 7, or 21?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

It is a 4th degree polynomial so the Fundamental Theorem of Algebra guarantees that it has 4 roots. 0, 2, or 4 of them may be complex, and 4, 2, or 0 of them may be real. The real ones may be singular with an even number of multiplicities.

John

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