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Pearson Algebra 2 Common Core, 2011 View details

Chapter Review

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Exercise 63 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.

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Practice makes perfect

We want to find the number of roots for the given equation. 5x^4-7x^6+2x^3+8x^2+4x-11=0 ⇕ - 7x^6+5x^4+2x^3+8x^2+4x-11=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 6, the equation has 6 roots.