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{"name": "Blathnaid's copy of Polynomial division", "feedback": {"allowrevealanswer": true, "showtotalmark": true, "advicethreshold": 0, "intro": "", "feedbackmessages": [{"threshold": "100", "message": "<p>Well done, you got every question right.</p>"}], "showanswerstate": true, "showactualmark": true}, "timing": {"allowPause": true, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "none", "message": ""}}, "allQuestions": true, "shuffleQuestions": false, "percentPass": "100", "duration": 0, "pickQuestions": 0, "navigation": {"onleave": {"action": "none", "message": ""}, "reverse": true, "allowregen": true, "showresultspage": "oncompletion", "preventleave": true, "browse": true, "showfrontpage": true}, "metadata": {"description": "<p>Practice dividing polynomials using the long division method.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "exam", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": [{"name": "Polynomial division 2by1", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Martin Jones", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/145/"}], "functions": {"s": {"definition": "latex(if(n=0,\"\",if(n<0,\"-\",\"+\")+abs(n)))", "type": "string", "language": "jme", "parameters": [["n", "number"]]}, "sx": {"definition": "latex(if(n=0,\"\",if(n<0,\"-\",\"+\")+if(abs(n)=1,\"\",abs(n))+\"x\"))", "type": "string", "language": "jme", "parameters": [["n", "number"]]}}, "ungrouped_variables": ["a", "b", "c", "d", "xcoeff", "con"], "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<table>\n<tbody>\n<tr>\n<td></td>\n<td style=\"text-align: center;\">[[0]]</td>\n<td style=\"text-align: center;\">[[1]]</td>\n<td></td>\n</tr>\n<tr>\n<td style=\"text-align: left; border-right: solid;\">$\\simplify{x+{a}}$</td>\n<td style=\"text-align: center; border-top: solid;\">$\\simplify{{b}*x^2}$</td>\n<td style=\"text-align: center; border-top: solid;\">${\\var{xcoeff}}$</td>\n<td style=\"text-align: center; border-top: solid;\">$\\var{con}$</td>\n</tr>\n<tr>\n<td></td>\n<td style=\"text-align: center;\">[[2]]</td>\n<td style=\"text-align: center;\">[[3]]</td>\n<td></td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td style=\"text-align: center;\">[[4]]</td>\n<td style=\"text-align: center;\">[[5]]</td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td style=\"text-align: center;\">[[6]]</td>\n<td style=\"text-align: center;\">[[7]]</td>\n</tr>\n<tr>\n<td></td>\n<td></td>\n<td></td>\n<td style=\"text-align: center;\">[[8]]</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{b}*x", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{c}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{b}*x^2", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{a*b}*x", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{c}*x", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{a*c+d}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{c}*x", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{a*c}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{d}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Write the final answer in the following form:</p>\n<table>\n<tbody>\n<tr>\n<td style=\"border-bottom: solid;\">$\\simplify{{b}*x^2+{c+a*b}*x+{a*c+d}}$</td>\n<td>$=$</td>\n  <td>[[0]]</td><td>$+$</td>\n<td style=\"text-align: center; border-bottom: solid;\">[[1]]</td>\n</tr>\n<tr>\n<td style=\"text-align: center;\">$\\simplify{x+{a}}$</td>\n<td></td>\n<td></td><td></td>\n<td style=\"text-align: center;\">$\\simplify{x+{a}}$</td>\n</tr>\n</tbody>\n</table>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{b}*x+{c}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}, {"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": false, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "{d}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Divide the polynomial $\\simplify{{b}*x^2+{c+a*b}*x+{a*c+d}}$ by $\\simplify{x+{a}}$.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "xcoeff": {"definition": "sx(a*b+c)", "templateType": "anything", "group": "Ungrouped variables", "name": "xcoeff", "description": ""}, "c": {"definition": "random(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "b": {"definition": "random(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(-5..5 except 0)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}, "con": {"definition": "s(a*c+d)", "templateType": "anything", "group": "Ungrouped variables", "name": "con", "description": ""}}, "metadata": {"description": "<p>Divide quadratic by linear</p>", "licence": "None specified"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}]}]}], "contributors": [{"name": "Blathnaid Sheridan", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/447/"}], "extensions": [], "custom_part_types": [], "resources": []}