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According to Descartes' Rule of Signs, can the polynomial function have exactly positive real zeros? Choose your answer based on the rule only.Choices:(A)yes(B)no
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Q. According to Descartes' Rule of Signs, can the polynomial function have exactly positive real zeros? Choose your answer based on the rule only.Choices:(A)yes(B)no
- Count Sign Changes: Count the number of sign changes in the polynomial . Coefficients: . Sign changes: (from to ).
- Descartes' Rule of Signs: According to Descartes' Rule of Signs, the number of positive real zeros is equal to the number of sign changes or less by an even number.Since we have sign change, the possible number of positive real zeros is or , which doesn't make sense, so we stick with .
- Number of Positive Zeros: Since the polynomial can have positive real zero, it cannot have exactly positive real zeros.
