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Dividing Cubic expressions to find the quotient : gap-fill part type", "tags": [], "metadata": {"description": "<p>Dividing Cubic expressions to find the quotient</p>", "licence": "None specified"}, "statement": "<p>Watch the video and learn how to find the remainder when dividing a cubic expression with a linear factor using long division.</p>\n<p><iframe width=\"640\" height=\"360\" style=\"border: none;\" src=\"https://web.microsoftstream.com/embed/video/79c66118-a5d3-4804-8fec-8f34a3182e14?autoplay=false&amp;showinfo=true\" allowfullscreen=\"allowfullscreen\"></iframe></p>\n<p>Now your turn! Divide the cubic expressions to find the quotient and the remainder. Enter your answers in the space provided.</p>\n<p><strong>Use the ^ for power&nbsp; x^2&nbsp;</strong></p>\n<p>Where it asks you to<strong> \"Try another question like this one\" </strong>it resets to allow another try.&nbsp;</p>", "advice": "<p>Divide x&sup3; + 6x&sup2; + 8x + 3 by (x + 1) Quotient x&sup2; + 5x + 3</p>", "rulesets": {}, "extensions": ["eukleides", "geogebra", "jsxgraph", "quantities", "random_person", "stats"], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": [], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>a (x3 + 8x2 + 17x + 16) by (x + 5) Quotient&nbsp; [[0]] Remainder&nbsp; [[1]]</p>\n<p>b (x3 &minus; 15x2 + 61x &minus; 48) by (x &minus; 7) Quotient&nbsp; [[2]] Remainder&nbsp; [[3]]</p>\n<p>c (3x3 + 4x2 + 7) by (2 + x) Quotient&nbsp; [[4]] Remainder&nbsp; [[5]]</p>\n<p>d (&minus;x3 &minus; 5x2 + 15x &minus; 50) by (x + 8) Quotient&nbsp; [[6]] Remainder&nbsp; [[7]]</p>\n<p>e (4x3 + 2x2 &minus; 16x + 3) by (x &minus; 3) Quotient&nbsp; [[8]] Remainder&nbsp; [[9]]</p>\n<p>f (1 &minus; 22x2 &minus; 6x3) by (x + 2) Quotient&nbsp; [[10]]Remainder&nbsp; [[11]]</p>", "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": 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"mustBeReducedPC": 0, "showFractionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "x^2 - 8x +5", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, 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