\text { Let } \mathcal{P}_{2}=\left\{a_{0}+a_{1} x+a_{2} x^{2} \mid a_{0}, a_{1}, a_{2} \in \mathbb{R}\right\} Fix any real numbers a, B, and y. Is there always a polynomial p(x) E P2 whose

graph goes through (–1, a), (–2, B), (–3, 7)?. If there is such a p(x), is it unique? Explain your answer.