9514 1404 393
Answer:
4
Explanation:
The function is of even degree. You can tell this because the end behavior is the same at both ends.
There are at least 4 zeros. There are 2 zeros of multiplicity 1 and one zero of multiplicity 2.
The crossings of the x-axis at x=-2 and x=3 have no flat spot, so the multiplicity must be 1; not 3, 5, or some other odd number.
You can tell the zero at x=1 is even multiplicity, because the graph does not cross the x-axis there. You can tell the multiplicity is only 2 because the curve is not flat enough for it to be 4 or more.
A polynomial function with 4 real zeros has a minimum degree of 4.