// Numbas version: finer_feedback_settings
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[[0]]</p>", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"answersimplification": "std", "variableReplacements": [], "vsetrange": [0, 1], "musthave": {"partialCredit": 0, "strings": [")("], "message": "", "showStrings": false}, "marks": "1", "answer": "({a[0]}x+{b[0]})({c[0]}x+{d[0]})", "showCorrectAnswer": true, "expectedvariablenames": [], "notallowed": {"partialCredit": 0, "strings": ["x^2", "x*x", "x x", "x(", "x*("], "message": "", "showStrings": false}, "type": "jme", "scripts": {}, "vsetrangepoints": 5, "checkingtype": "absdiff", "showpreview": true, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.0001, "showFeedbackIcon": true}], "showFeedbackIcon": true}, {"type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>Factorise $\\simplify{{a[1]*c[1]}x^2+{a[1]*d[1]+b[1]*c[1]}x+ {b[1]*d[1]}}$.&nbsp;[[0]]</p>", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"answersimplification": "std", "variableReplacements": [], "vsetrange": [0, 1], "musthave": {"partialCredit": 0, "strings": [")("], "message": "", "showStrings": false}, "marks": "1", "answer": "({a[1]}x+{b[1]})({c[1]}x+{d[1]})", "showCorrectAnswer": true, "expectedvariablenames": [], "notallowed": {"partialCredit": 0, "strings": ["x^2", "x*x", "x x", "x(", "x*("], "message": "", "showStrings": false}, "type": "jme", "scripts": {}, "vsetrangepoints": 5, "checkingtype": "absdiff", "showpreview": true, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.0001, "showFeedbackIcon": true}], "showFeedbackIcon": true}, {"type": "gapfill", "scripts": {}, "showCorrectAnswer": true, "prompt": "<p>Factorise $\\simplify{{a[2]*c[2]}x^2+{a[2]*d[2]+b[2]*c[2]}x+ {b[2]*d[2]}}$.&nbsp;[[0]]</p>", "marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"answersimplification": "std", "variableReplacements": [], "vsetrange": [0, 1], "musthave": {"partialCredit": 0, "strings": [")("], "message": "", "showStrings": false}, "marks": "1", "answer": "({a[2]}x+{b[2]})({c[2]}x+{d[2]})", "showCorrectAnswer": true, "expectedvariablenames": [], "notallowed": {"partialCredit": 0, "strings": ["x^2", "x*x", "x x", "x(", "x*("], "message": "", "showStrings": false}, "type": "jme", "scripts": {}, "vsetrangepoints": 5, "checkingtype": "absdiff", "showpreview": true, "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "checkingaccuracy": 0.0001, "showFeedbackIcon": true}], "showFeedbackIcon": true}], "statement": "<p>Factorise the following quadratics into the form (ax+b)(cx+d). 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