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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3. The graph of a higher order polynomial function may not intersect the x-axis. 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 x-axis.
4) Change the polynomial into a higher order polynomial that will intersect the xaxis and describe its characteristics.
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