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According to Descartes' Rule of Signs, can the polynomial function have exactly positive real zeros, including any repeated 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, including any repeated 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 ).
- Apply Descartes' Rule: Apply Descartes' Rule of Signs to determine the maximum number of positive real zeros.With sign change, there can be at most positive real zero.
- Check Positive Real Zeros: Check if the polynomial can have exactly positive real zeros.Since the maximum number of positive real zeros is , the polynomial cannot have exactly positive real zeros.
