Posted by **Suzy** on Sunday, January 27, 2013 at 8:46am.

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?

- Math -
**Reiny**, Sunday, January 27, 2013 at 9:32am
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.

## Answer This Question

## Related Questions

- math - The graph of the polynomial function P(x) is shown. a. List the real ...
- math - The graph of the polynomial function P(x) is shown. a. List the real ...
- Math - Simple rational Function (check) - Consider the function f(x) = x/(x-1) ...
- MATH TRIGONOMETRY - refer to the polynomial function f(x)= -x(x-1)(x+2) in ...
- Math - Simple rational functions (check) - Consider the function f(x) = x/(x-1) ...
- Math - Determine the maximum and minimum number of turning points for the ...
- precalculus - Determine the maximum and minimum number of turning points for the...
- Math - Can someone help me with these T.T 1.Which polynomial function would have...
- Algebra-please check my work - check my answers please. Use the Intermediate ...
- algebra - Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot ...

More Related Questions