(Solved): Which polynomial has the following end behavior? Assume \( a \) is a positive constant. \( p(x) \r ...

Which polynomial has the following end behavior? Assume \( a \) is a positive constant. \( p(x) \rightarrow-\infty \) as \( x \rightarrow-\infty, \quad p(x) \rightarrow+\infty \) as \( x \rightarrow+\infty \) \[ \begin{array}{l} p(x)=-20 x^{10}(x-a)^{4} \\ p(x)=-20 x^{4}(x-a)^{5} \\ p(x)=20 x^{7}(x-a)^{10} \\ p(x)=20 x^{5}(x-a)^{7} \end{array} \]