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The x intercepts are the roots of the polynomial f(x) = 0.
The fundamental theorem of algebra says that the number of roots of this equation is 9, but not necessarily all of them are real; therefore the MAXIMUM number of x intercepts is 9.
However, since f(x) is of odd degree it must have at least one real root; therefore, the MINIMUM number of x intercepts is 1.
Answer:
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
Using Pythagorean Theorem, 15^2-9^2=12^2, so the length AD equals to 12. DC is 12sqrt(3) because the side facing the 60 degree angle is always sqrt(3) times larger than the side facing the 30 degree angle. Lastly, AC is two times AD, which is 24.
Adding the side lengths up, AB+AC+DC+BD=15+24+12sqrt(3)+9=48+12sqrt(3).
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