I dont know if this goes in here but this is a question from my pre-calc class that i could not solve
Find a polynomial whose turning points are at -1, (3 + √7)/4 , and (3 - √7)/4
Any help will be appreciated.
Turning Points occur when the derivative is 0.
Using this information, you can find the derivative.
(set it equal to 0, you should see that the turning points are correct).
Expand, and then you can integrate to find the polynomial.
You can choose any value of C you like... 0 is the easiest.
So a polynomial that has the turning points you mentioned is