{"status": "success", "data": {"description_md": "The nonzero coefficients of a polynomial $P$ with real coefficients are all replaced by their mean to form a polynomial $Q$. Which of the following could be a graph of $y = P(x)$ and $y = Q(x)$ over the interval $-4\\leq x \\leq 4$?<br>[[File:2002AMC12A25.png]]\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The nonzero coefficients of a polynomial  <span class=\"katex--inline\">P</span>  with real coefficients are all replaced by their mean to form a polynomial  <span class=\"katex--inline\">Q</span> . Which of the following could be a graph of  <span class=\"katex--inline\">y = P(x)</span>  and  <span class=\"katex--inline\">y = Q(x)</span>  over the interval  <span class=\"katex--inline\">-4\\leq x \\leq 4</span> ?<br/>[[File:2002AMC12A25.png]]</p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 5, "problem_name": "2002 AMC 12A Problem 25", "can_next": false, "can_prev": true, "nxt": "", "prev": "/problem/02_amc12A_p24"}}