// Numbas version: exam_results_page_options {"name": "Factorisation d'un trin\u00f4me", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"rulesets": {}, "statement": "", "advice": "", "preamble": {"js": "", "css": ""}, "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "

The student is asked to factorise a quadratic \$x^2 + ax + b\$. A custom marking script uses pattern matching to ensure that the student's answer is of the form \$(x+a)(x+b)\$, \$(x+a)^2\$, or \$x(x+a)\$.

\n

To find the script, look in the Scripts tab of part a.

"}, "parts": [{"failureRate": 1, "expectedVariableNames": [], "variableReplacements": [], "checkingAccuracy": 0.001, "marks": "1", "type": "jme", "customMarkingAlgorithm": "", "showCorrectAnswer": true, "vsetRange": [0, 1], "prompt": "

Factoriser \$\\simplify{x^2+{a+b}x+{a*b}}\$

", "showFeedbackIcon": true, "checkingType": "absdiff", "showPreview": true, "extendBaseMarkingAlgorithm": true, "checkVariableNames": false, "variableReplacementStrategy": "originalfirst", "vsetRangePoints": 5, "scripts": {"mark": {"script": "// Parse the student's answer as a syntax tree\nvar studentTree = Numbas.jme.compile(this.studentAnswer,Numbas.jme.builtinScope);\n\n// Create the pattern to match against \n// we just want two sets of brackets, each containing two terms\n// or one of the brackets might not have a constant term\n// or for repeated roots, you might write (x+a)^2\nvar rule = Numbas.jme.compile('m_any( (x+??)(x+??), (x+??)^2, x*(x+??) )');\n\n// Check the student's answer matches the pattern. \nvar m = Numbas.jme.display.matchTree(rule,studentTree,true);\n// If not, take away marks\nif(!m) {\n this.multCredit(0.5,'Your answer is not in the form \$(\\\\dots)(\\\\dots)\$.');\n}\n", "order": "after"}}, "answer": "(x+{a})(x+{b})", "unitTests": []}], "name": "Factorisation d'un trin\u00f4me", "functions": {}, "ungrouped_variables": ["a", "b"], "tags": [], "variables": {"b": {"group": "Ungrouped variables", "name": "b", "description": "", "definition": "random(-5..5 except 0)", "templateType": "anything"}, "a": {"group": "Ungrouped variables", "name": "a", "description": "", "definition": "random(-5..5)", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "extensions": [], "variable_groups": [], "type": "question", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}, {"name": "Jeanne Parmentier", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2126/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Clare Lundon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/492/"}, {"name": "Jeanne Parmentier", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2126/"}]}