{"status": "success", "data": {"description_md": "**POTD November 28, 2023**\n**Author:** qgek\n\nLet complex numbers $v$ and $w$ (where $v \\neq w$) be $2$ of the $3$ roots of $3^{rd}$ degree polynomial $z^3+2z^2+17$. Find the value of $(v+w)\\cdot(v+w+2)^2$.", "description_html": "<p><strong>POTD November 28, 2023</strong><br/>&#10;<strong>Author:</strong> qgek</p>&#10;<p>Let complex numbers <span class=\"katex--inline\">v</span> and <span class=\"katex--inline\">w</span> (where <span class=\"katex--inline\">v \\neq w</span>) be <span class=\"katex--inline\">2</span> of the <span class=\"katex--inline\">3</span> roots of <span class=\"katex--inline\">3^{rd}</span> degree polynomial <span class=\"katex--inline\">z^3+2z^2+17</span>. Find the value of <span class=\"katex--inline\">(v+w)\\cdot(v+w+2)^2</span>.</p>&#10;", "hints_md": "Use [Vieta's formulas](https://artofproblemsolving.com/wiki/index.php/Vieta%27s_formulas).", "hints_html": "<p>Use <a href=\"https://artofproblemsolving.com/wiki/index.php/Vieta%27s_formulas\">Vieta&#8217;s formulas</a>.</p>&#10;", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 4, "problem_name": "Problem of the Day #9", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}