chapter 11 polynomial functions
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DESCRIPTION11.1 and 11.2 Finding real roots of polynomials and the Fundamental Theorem of Algebra Sounds impressive right?!. Chapter 11 Polynomial Functions. Fundamental Theorem of Algebra. Every polynomial with degree n has “n” number of roots (zeros, x-intercepts, solutions!) - PowerPoint PPT Presentation
Chapter 11 Polynomial Functions11.1 and 11.2Finding real roots of polynomials and the Fundamental Theorem of Algebra
Sounds impressive right?!Fundamental Theorem of Algebragraphs
Lets go to the real world!
Oops! Wrong real world!
How about the real number world??Solve each poly by factoringMultiplicitylook were identical!
ID the roots and state multiplicity
(x + 2)(x + 2)(x + 2)(x + 3)(x + 3)(x + 3)(x 1)Rational Root Theorem
Joke Break!Why is the rational root problem so polite?
It minds its ps and qs!Find the roots
Doesnt factorUse rational root theorem to ID possible rootsUse synthetic to test for root (remainder of zero)Knock down to factorable poly (usually quadratic)Factor for the other rootsList the rootsAssignmentPg. 342 (15-22 all)