The table below shows certain values of p(x) on the interval [2,14].x p(x)2 66 910 1014 7If p(x) is a polynomial, can you conclude that the equation p(x)=0 has a solution?

Yes, we can conclude that the equation p(x)=0 has a solution. This is because the values of p(x) change from positive to negative as x increases from 2 to 14. According to the Intermediate Value Theorem, if a function is continuous on a closed interval [a,b] and k is any number between f(a) and f(b), then there exists a number c in the interval (a,b) such that f(c)=k. In this case, 0 is between the values of p(x) on the interval [2,14], so there must be a value c in this interval such that p(c)=0.