# PolyFunctReviewSheet_Answers - *Practice Problems: You must...

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*Practice Problems: You must SHOW ALL WORK for credit. SOLUTIONS *Sketch the following polynomial functions: 1. 4 2 ( ) ( 3) ( 2) f x x x x = - - + *See overhead in morning* 2. 2 3 ( ) (4 ) (1 ) ( 2 ) f x x x x = - - - - *See overhead in morning* 3. Determine whether 2 4 x + is a factor of 4 3 2 ( ) 2 3 9 14 7 f x x x x x = - + - + . Then write the solution in factored form and fraction form. Factored: 4 3 2 2 2 2 3 9 14 7 (2 3 1)( 4) 2 3 x x x x x x x x - + - + = - + + - + Fraction: 4 3 2 2 2 2 2 3 9 14 7 2 3 2 3 1 4 4 x x x x x x x x x - + - + - + = - + + + + REMINDER: *Topics Covered on Test : List possible rational roots # of possible complex roots (and possible combinations of real/imag) End Behavior Concept of Multiplicity (cross/touch x-axis) Descartes’ Rule of Signs Upper/Lower Bound Find all roots (with synthetic division) Find roots (with Factor Theorem/Remainder Theorem) Linear Factorization Long Division Factored/Fraction form Finding remainders

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## This note was uploaded on 11/05/2011 for the course ECON 101 taught by Professor Graham during the Spring '08 term at N. Colorado.

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PolyFunctReviewSheet_Answers - *Practice Problems: You must...

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