{"status": "success", "data": {"description_md": "The graph of the polynomial\n\n$P(x) = x^5 + ax^4 + bx^3 + cx^2 + dx + e$<br>has five distinct $x$-intercepts, one of which is at $(0,0)$. Which of the following coefficients cannot be zero?\n\n$\\textbf{(A)}\\ a \\qquad \\textbf{(B)}\\ b \\qquad \\textbf{(C)}\\ c \\qquad \\textbf{(D)}\\ d \\qquad \\textbf{(E)}\\ e$\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 graph of the polynomial</p>&#10;<p> <span class=\"katex--inline\">P(x) = x^5 + ax^4 + bx^3 + cx^2 + dx + e</span> <br/>has five distinct  <span class=\"katex--inline\">x</span> -intercepts, one of which is at  <span class=\"katex--inline\">(0,0)</span> . Which of the following coefficients cannot be zero?</p>&#10;<p> <span class=\"katex--inline\">\\textbf{(A)}\\ a \\qquad \\textbf{(B)}\\ b \\qquad \\textbf{(C)}\\ c \\qquad \\textbf{(D)}\\ d \\qquad \\textbf{(E)}\\ e</span> </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": "2003 AMC 12A Problem 21", "can_next": true, "can_prev": true, "nxt": "/problem/03_amc12A_p22", "prev": "/problem/03_amc12A_p20"}}