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Pearson Algebra 2 Common Core, 2011 View details

Chapter Review

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Exercise 62 Page 351

Recall the Fundamental Theorem of Algebra, which says that if P(x) is a polynomial of degree n≥ 1, then P(x)=0 has exactly n roots.

5

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We want to find the number of roots for the given equation. - x^5-6=0 Recall the Fundamental Theorem of Algebra. IfP(x)is a polynomial of degree n≥1, thenP(x)=0has exactly nroots. This rule includes rational roots, complex roots, and repeated roots. Since the degree of the polynomial on the left-hand side of the equation is 5, the equation has 5 roots.