3. ​The graph of a higher order polynomial function may not intersect the x-axis. Describe the characteristics of a higher order (greater than degree 2) polynomial that will not intersect the x-axis.       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 x-axis and describe its characteristics.

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Q: 5- What is the least possible degree of the polynomial graphed above? 3.

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Q: 12. Explain how to find the degree of a polynomial

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Q: 6- What is the least possible degree of the polynomial graphed above? en

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Q: 2. What is the least possible degree of the polynomial graphed above? NO

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.