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Manu determines the roots of a polynomial equation P(x) = 0 organizes the results of these theorems. by applying the theorems he knows. He

 

Manu determines the roots of a polynomial equation P(x) = 0 organizes the results of these theorems. by applying the theorems he knows. He 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 p(x) and 3 sign changes in P(-x) +1,11,11,12,12,13,14,15,110, 120 The rational root theorem yields roots. as the list of possible rational 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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