// Numbas version: exam_results_page_options {"name": "Solving quadratics by factorising - AMRC", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"extensions": [], "parts": [{"showFeedbackIcon": true, "variableReplacements": [], "gaps": [{"expectedvariablenames": [], "showpreview": true, "vsetrangepoints": 5, "checkingtype": "absdiff", "musthave": {"showStrings": false, "partialCredit": 0, "strings": [")("], "message": ""}, "showCorrectAnswer": true, "notallowed": {"showStrings": false, "partialCredit": 0, "strings": ["x^2", "x*x", "x x", "x(", "x*("], "message": ""}, "checkingaccuracy": 0.0001, "vsetrange": [0, 1], "answersimplification": "std", "showFeedbackIcon": true, "variableReplacements": [], "answer": "({a[0]}x+{b[0]})({c[0]}x+{d[0]})", "checkvariablenames": false, "variableReplacementStrategy": "originalfirst", "type": "jme", "scripts": {}, "marks": "1"}, {"allowFractions": true, "markPerCell": false, "correctAnswerFractions": true, "showCorrectAnswer": true, "numColumns": "2", "allowResize": false, "showFeedbackIcon": true, "variableReplacements": [], "correctAnswer": "matrix([{solmin[0]},{solmax[0]}])", "tolerance": 0, "variableReplacementStrategy": "originalfirst", "type": "matrix", "scripts": {}, "numRows": 1, "marks": 1}], "variableReplacementStrategy": "originalfirst", "type": "gapfill", "scripts": {}, "prompt": "

Factorise $\\simplify{{a[0]*c[0]}x^2+{a[0]*d[0]+b[0]*c[0]}x+ {b[0]*d[0]}}$. [[0]]

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Hence solve $\\simplify{{a[0]*c[0]}x^2+{a[0]*d[0]+b[0]*c[0]}x+ {b[0]*d[0]}}=0$. [[1]]

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Factorise $\\simplify{{a[1]*c[1]}x^2+{a[1]*d[1]+b[1]*c[1]}x+ {b[1]*d[1]}}$. [[0]]

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Hence solve $\\simplify{{a[1]*c[1]}x^2+{a[1]*d[1]+b[1]*c[1]}x+ {b[1]*d[1]}}=0$. [[1]]

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Factorise $\\simplify{{a[2]*c[2]}x^2+{a[2]*d[2]+b[2]*c[2]}x+ {b[2]*d[2]}}$. [[0]]

\n

Hence solve $\\simplify{{a[2]*c[2]}x^2+{a[2]*d[2]+b[2]*c[2]}x+ {b[2]*d[2]}}=0$. [[1]]

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Solve the quadratic equations by factorising. Enter answers in ASCENDING ORDER.

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Several quadratics are given and students are asked to complete the square.

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