https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki_talk:Problem_of_the_Day/July_22,_2011&feed=atom&action=historyAoPS Wiki talk:Problem of the Day/July 22, 2011 - Revision history2024-03-29T06:21:55ZRevision history for this page on the wikiMediaWiki 1.31.1https://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki_talk:Problem_of_the_Day/July_22,_2011&diff=40603&oldid=prevJoshxiong: Added headlines2011-07-22T18:41:53Z<p>Added headlines</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 18:41, 22 July 2011</td>
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<tr><td class='diff-marker'>−</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Solution<del class="diffchange diffchange-inline">: </del>If there is only one integer root, if it is in the form <math>x - y</math>, and <math>y</math> is a constant, then <math>y</math> must be a factor of <math>25</math>, the polynomial's constant term, because of the Factor Theorem. <math>-1</math> and <math>1</math> are not zeros. Going up from there, we see that <math>5</math> is a zero, so our answer is <math>5</math>.</div></td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins class="diffchange diffchange-inline">==Problem==</ins></div></td></tr>
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<tr><td colspan="2"> </td><td class='diff-marker'>+</td><td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>If there is only one integer root, if it is in the form <math>x - y</math>, and <math>y</math> is a constant, then <math>y</math> must be a factor of <math>25</math>, the polynomial's constant term, because of the Factor Theorem. <math>-1</math> and <math>1</math> are not zeros. Going up from there, we see that <math>5</math> is a zero, so our answer is <math>5</math>.</div></td></tr>
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</table>Joshxionghttps://artofproblemsolving.com/wiki/index.php?title=AoPS_Wiki_talk:Problem_of_the_Day/July_22,_2011&diff=40596&oldid=prevKingofmath101: July 22, 2011, Problem of the Day solution2011-07-22T01:28:23Z<p>July 22, 2011, Problem of the Day solution</p>
<p><b>New page</b></p><div>Solution: If there is only one integer root, if it is in the form <math>x - y</math>, and <math>y</math> is a constant, then <math>y</math> must be a factor of <math>25</math>, the polynomial's constant term, because of the Factor Theorem. <math>-1</math> and <math>1</math> are not zeros. Going up from there, we see that <math>5</math> is a zero, so our answer is <math>5</math>.</div>Kingofmath101