Exercise 63 Page 351

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.