4.1.lesson completed_Oct.08

4.1.lesson completed_Oct.08 - 4.1solve.eqns.lesson.notebook...

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Unformatted text preview: 4.1solve.eqns.lesson.notebook October 08, 2008 Ex. 2 Solve each equation and compare it to the corresponding function. 4.1 Solving Polynomial Equations b) x2 ­ 6x + 9 = 0 a) 2x ­ 3 = 0 c) 2x2 ­ 5x + 1 = 0 Recall: Polynomial Fns: y = anxn + an­1xn­1 + ... + a1x + a0, a∈R, n∈W Corresponding Eq'n: 0 = anxn + an­1xn­1 + ... + a1x + a0, which has at most 'n' real roots (zeros, or solutions) d) x3 ­ 5x2 = 22x + 16 Ex.1 From the graphs shown, state the nature of the roots of the corresponding equation. e) x3 ­ 2x2 ­ 9x + 18 = 0 Oct 7­7:45 PM Oct 7­8:12 PM f) x3 + x2 + x ­ 3 = 0 Note: A polynomial function of degree 'n' has n roots which may be of the form of: real roots (not all are distinct, or different) complex roots (which occur in pairs ­ complex conjugates) a combination of the above. hwk ­ pg 204 #1 pair share, #2,5, 6bce, 7cd Oct 7­8:17 PM 1 ...
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