3. The graph of a higher order polynomial function may not intersect the raxis. Use what you have learned in this lesson to describe the characteristics of a higher order (greater than degree 2) polynomial that will not intersect the xaxis. 1) Write the polynomial function in standard and factored form. 2) Sketch the graph of the polynomial function, labeling key points on the graph and describe its characteristics. 3) Describe how you know that graph will never intersect the xaxis. 4) Change the polynomial into a higher order polynomial that will intersect the xaxis and describe its characteristics.
3. The graph of a higher order polynomial function may not intersect the raxis. Use what you have learned in this lesson to describe the characteristics of a higher order (greater than degree 2) polynomial that will not intersect the xaxis. 1) Write the polynomial function in standard and factored form. 2) Sketch the graph of the polynomial function, labeling key points on the graph and describe its characteristics. 3) Describe how you know that graph will never intersect the xaxis. 4) Change the polynomial into a higher order polynomial that will intersect the xaxis and describe its characteristics.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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