# Math

posted by Suzy

Suppose you have a graph of a polynomial function and you can see that the function increases without bound on both left and right ends, has 4 real zereos and has 5 turning points. Based on this information, what is the minimum degree of the polynomial?

1. Reiny

So the 1st derivative has 5 solutions, indicating that the 1st derivative must have been a 5th degree, making the original function sixth degree function
It must have had some double roots, that is , touching the x-axis without crossing over gives us 2 equal roots.

## Similar Questions

1. ### Algebra-please check my work

check my answers please. Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero between the given integers. f(x) = 2x3 + 10x2 - 8x - 5; between 1 and 2 -I got: f(1)=1 and f(2)=35;no Determine …
2. ### Math - Simple rational Function (check)

Consider the function f(x) = x/(x-1) Are there any turning points?
3. ### Math - Simple rational functions (check)

Consider the function f(x) = x/(x-1) Are there any turning points?
4. ### algebra

Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare …
5. ### Math

Can someone help me with these T.T 1.Which polynomial function would have the end behaviour of as x-> -∞, y= +inf and as x-> ∞, y-> -∞?
6. ### precalculus

Determine the maximum and minimum number of turning points for the function h(x) = -2x^4 - 8x^3 + 5x -6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always …
7. ### Math

Determine the maximum and minimum number of turning points for the function h(x) = -2x^4 - 8x^3 + 5x -6. Maximum:3 Minimum:1 Is this a valid reason: A quartic polynomial function has a 3 Turning points. The turning point is always …
8. ### math

The graph of the polynomial function P(x) is shown. a. List the real zeros of P(x). b. List the turning points of P(x). c. State the left and right behavior of P(x).
9. ### math

The graph of the polynomial function P(x) is shown. a. List the real zeros of P(x). b. List the turning points of P(x). c. State the left and right behavior of P(x).
10. ### MATH TRIGONOMETRY

refer to the polynomial function f(x)= -x(x-1)(x+2) in anwering the folloowing questions. 1.what is the y intercept?

More Similar Questions