PolyFunctReviewSheet - 4*Given polynomial function 3 2 4 11...

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Polynomial Functions Review Sheet *Practice Problems: You must SHOW ALL WORK for credit. *Sketch the following polynomial functions: 1. 4 2 ( ) ( 3) ( 2) f x x x x = - - + 2. 2 3 ( ) (4 ) (1 ) ( 2 ) f x x x x = - - - - 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. 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 Curve Sketching Determine equation from sketch, using y-intercept to find leading coefficient Determine equation from zeros and y-intercept
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Polynomial Functions Review Sheet
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Unformatted text preview: 4. *Given polynomial function 3 2 ( ) 4 11 14 6 f x x x x =-+-... *Determine the following information: 1. Name: 2. Degree: 3. Leading coefficient: 4. End behavior: 5. # of complex roots: 6. Combinations of possible real/imaginary roots: 7. # of possible positive roots: 8. # of possible negative roots: 9. Possible rational roots: 10. Interval for upper and lower bound: (REMEMBER lowest integer upper bound and greatest integer lower bound!) 11. Determine whether the possible rational roots are roots, using the Remainder Theorem. Polynomial Functions Review Sheet 12. Then find ALL roots of this function, using synthetic division. 13. Give the linear factorization of f(x). *Determine equations of the polynomial functions from the graphs: 5. with y-intercept (0,16) 6. with y-intercept (0, -32)...
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