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 x-axis.      1) Write the polynomial function in standard and factored form. Then, sketch the graph of the polynomial function, labeling key points on the graph and describe its characteristics.      2) Describe how you know that graph will never intersect the x-axis.      3) Change the polynomial into a higher order polynomial that will intersect the x-axis and describe its characteristics.

Q: Write a polynomial function that has the graph below, with the given roots and passes through the…

A: To find the polynomial function from the given graph

Q: Write a polynomial function that imitates the end behavior of the graph. The dashed portions of the…

A: Given: The graph is shown below,

Q: The polynomial function f(x) = -0.27x3 + 9.2x2 - 102.9x + 400 models the ratio of students to…

A: Degree of f(x) is 3 and lead coefficient is -0.27  Because of the negative lead coefficient, the…

Q: Find a possible equation for the polynomial whose graph is given

A: The x-intercepts of the graph are x=-2,x=-1,x=1,x=3 Therefore, the factors of the polynomial are…

Q: Find the final amount of money in an account if $3,900$3,900 is deposited at 7%7% interest…

A:

Q: How do you graph a polynomial?

A: The steps which involved on graphing a polynomial function.Compute the factors of the given…

Q: What is a polynomial? What is the domain of every polynomial function?

A: given,       to define polynomial and domain of every polynomial function

Q: Given the graph of the polynomial function, determine its equation: 6- 4 2- 0 -2- -4- H 2 3 4 X

A:

Q: What do you think the factored form of any polynomial would tell you about the behavior of the…

A:

Q: The zeros of a third degree polynomial function are 0, 2,–3. Write a possible equation for the…

A:

Q: Take this polynomial: -3x4-7x³ + 2x² + 15x + 31. Without actually graphing it, how can you tell…

A:

Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

A: Please see the attachment

Q: Write equations for several polynomial functions of odd degree and graph each function. Is it…

A: To Determine: Write equations for several polynomial functions of odd degree and graph each…

Q: 4. Explain and show all the possible number of x-intercepts (zeros) for a polynomial function with a…

A: Given: A polynomial function of degree 3.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.