Question

Given the following polynomial find the maximum possible number of turning points. f(x)=x^11+x^10+x^12+x^9

Answer 1

Turning points are inflection points

think
1st degree (linear) has no turning/inflecion points
2nd degree (quadratic, parabola) has  1 turning/inflection point
so
nth degree has n-1 turning/inflection point

this is 11th degree since highest power is 12
12-1=11
11 turning oints