1. Manu determines the roots of a polynomial equation by applying the theorems he knows. He organizes the results of these theorems. From the fundamental theorem of algebra, Manu knows there are 3 roots to the equation. From Descartes’ rule of sign, Manu finds no sign changes in and 3 sign changes in. The rational root theorem yields as the list of possible rational roots. The lower bound of the polynomial is. -6. The upper bound of the polynomial is 1. What values in Manu’s list of rational roots should he try in synthetic division in light of these findings?
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"Manu finds no sign changes in and 3 sign changes in."
Full question.
1. Manu determines the roots of a polynomial equation by applying the theorems he knows. He organizes the results of these theorems. From the fundamental theorem of algebra, Manu knows there are 3 roots to the equation. From Descartes’ rule of sign, Manu finds no sign changes in and 3 sign changes in. The rational root theorem yields as the list of possible rational roots. The lower bound of the polynomial is. -6. The upper bound of the polynomial is 1. What values in Manu’s list of rational roots should he try in synthetic division in light of these findings?
