// Numbas version: exam_results_page_options
{"name": "Factoring 1 Quadratic  of form:  $ax^2+bx+c$   ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Factoring 1 Quadratic  of form:  $ax^2+bx+c$   ", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p></p>\n<p style=\"text-align: left;\"></p>", "rulesets": {}, "parts": [{"prompt": "<p>Remember, the constants in your expression can be positive or negative</p>\n<p>and you must have <em>two brackets</em> in your inputted answer.</p>\n<p></p>\n<p>$\\simplify{{a*b}x^2+{a*d+b*c}*x+{c*d}} = $&nbsp; [[0]]&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"notallowed": {"message": "<p>The answer must be factorised.</p>", "showStrings": true, "strings": ["x^"], "partialCredit": 0}, "vsetrangepoints": 5, "expectedvariablenames": ["x"], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": false, "answersimplification": "all", "scripts": {}, "answer": "({a}x+{c})({b}x+{d})", "marks": "2", "checkvariablenames": true, "checkingtype": "reldiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p><strong></strong></p>\n<p><strong>Express the following quadratic&nbsp;expression as the product of&nbsp;two linear factors of&nbsp;the form $(ax+c)(bx+d)$:</strong></p>\n<p></p>\n<p>\\[\\simplify{{a*b}x^2+{a*d+b*c}*x+{c*d}}\\]</p>\n<p><strong></strong></p>", "variable_groups": [{"variables": ["a", "b", "c", "d"], "name": "Part c"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(1..3)", "templateType": "anything", "group": "Part c", "name": "a", "description": ""}, "c": {"definition": "random(2..7)", "templateType": "anything", "group": "Part c", "name": "c", "description": ""}, "b": {"definition": "random(2..3)", "templateType": "anything", "group": "Part c", "name": "b", "description": ""}, "d": {"definition": "random(-6..-1 )", "templateType": "anything", "group": "Part c", "name": "d", "description": ""}}, "metadata": {"description": "<p>Factorising further basic quadratics into linear&nbsp;factors.</p>", "licence": "All rights reserved"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}]}], "contributors": [{"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}]}