Question 1100353
<br>Every polynomial is a continuous function.<br>
The given value of f(x) show that the function value changes sign 5 times -- between -18 and -12, between -12 and -6, between -6 and 0, between 6 and 12, and between 18 and 24.<br>
Since the function is continuous and the function value changes sign 5 times, the function must have (at least) 5 zeros.<br>
Therefore the minimum degree of the polynomial is 5.