Question

Determine the least possible degree of the polynomial function shown

Answer 1

The polynomial shown on the graph has two visible turning points.

Therefore

`2\leq n+1\\n\geq 3`

So, the least possible degree is 3.

Answer 2

polynomial of degree 3

Explanation:

the Fundamental theorem of algebra states that a polynomial with n zeros is of degree n

the polynomial shown has 3 zeros ( where the graph crosses the x- axis )

then this is a polynomial of degree 3