the graph of a polynomial has four turning points what is the least possible degree of this polynomial ?

a.3
b.4
c.5
d.6

Respuesta :

answer : 5

For example

The quadratic equation has 1 tuning point. The degree of quadratic polynomial is 2

Cubic polynomial can have 2 turning points. The degree of cubic polynomial is 3

From this we conclude that if a polynomial has 'n' turning points, then the least possible degree is n+1

the graph of a polynomial has 4  turning points, so the least possible degree is

4+1 = 5

5 is the least possible degree of this polynomial