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According to Descartes' Rule of Signs, can the polynomial function have exactly positive real zero, 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 zero, 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 coefficients of . 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, can have or positive real zeros.
- Check Positive Real Zeros: Check if can have exactly positive real zero.Since the possible number of positive real zeros is or , it can have exactly positive real zero.
