what is the least possible degree of the polynomial shown below? the minimum degree is. question help…
what is the least possible degree of the polynomial shown below? the minimum degree is. question help: message instructor submit question jump to answer
Answer
Explanation:
Step1: Recall polynomial - degree rule
The number of turning points of a polynomial function (y = f(x)) is at most (n - 1), where (n) is the degree of the polynomial.
Step2: Count turning points
The given graph has 3 turning - points.
Step3: Calculate minimum degree
Let (n) be the degree of the polynomial. Since the number of turning points is at most (n - 1), and we have 3 turning points, then (n-1\geq3). Solving for (n), we get (n\geq4).
Answer:
4