+129840 No....the maximum number of turning points in a polynomial of "n" degrees = n-1
To see, this......consider a polynomial of "n" degees that has "n" real roots. The relative "maximums" and "minimums" of this polynomial (i.e., the "turning points") will occur "between" these roots and none will occur on either side of the bounds on these roots. And the maxiumum number of extrema "between" the "n" roots = n-1 ...... !!!
Therefore, a 5th degree polynomial has, at max, 4 turning points
+129840 No....the maximum number of turning points in a polynomial of "n" degrees = n-1
To see, this......consider a polynomial of "n" degees that has "n" real roots. The relative "maximums" and "minimums" of this polynomial (i.e., the "turning points") will occur "between" these roots and none will occur on either side of the bounds on these roots. And the maxiumum number of extrema "between" the "n" roots = n-1 ...... !!!
Therefore, a 5th degree polynomial has, at max, 4 turning points
