{"@context":"https://schema.org/","@type":"Quiz","dateCreated":"2024-05-07T11:09:41.580Z","dateModified":"2024-05-07T11:09:41.580Z","typicalAgeRange":"11-18","educationalLevel":"TS POLYCET","assesses":"Mathematics - Polynomials","educationalAlignment":[{"@type":"AlignmentObject","alignmentType":"educationalTopic","targetName":"Polynomials"},{"@type":"AlignmentObject","alignmentType":"educationalSubject","targetName":"Mathematics"},{"@type":"AlignmentObject","alignmentType":"educationalExam","targetName":"TS POLYCET"}],"name":"Quiz about Polynomials","about":{"@type":"Thing","name":"Mathematics - Polynomials"},"hasPart":[{"@type":"Question","eduQuestionType":"Multiple choice","learningResourceType":"Practice problem","educationalLevel":"intermediate","name":"Question About Polynomials","text":"If \\(\\alpha,\\beta\\) are the zeroes of the quadratic polynomial \\(ax^2 + bx+c\\) , \\(a ≠0\\) then \\(\\alpha^2+\\beta^2=\\)","encodingFormat":"text/markdown","comment":{"@type":"Comment","text":"\"\""},"suggestedAnswer":[{"@type":"Answer","position":0,"encodingFormat":"text/markdown","text":"

\\(\\frac{1}{a^2}(b^2+2ac)\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":1,"encodingFormat":"text/markdown","text":"

\\(\\frac{1}{a^2}(c^2+2ab)\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\\(\\frac{1}{a^2}(b^2-2ac)\\)

","comment":{"@type":"Comment","text":"\"\""}},{"@type":"Answer","position":3,"encodingFormat":"text/markdown","text":"

\\(\\frac{1}{a^2}(c^2-2ab)\\)

","comment":{"@type":"Comment","text":"\"\""}}],"acceptedAnswer":{"@type":"Answer","position":2,"encodingFormat":"text/markdown","text":"

\\(\\frac{1}{a^2}(b^2-2ac)\\)

","answerExplanation":{"@type":"text","text":"The correct option is (C): \\(\\frac{1}{a^2}(b^2-2ac)\\)"},"comment":{"@type":"Comment","text":"\"\""}}}]}

If α,β\alpha,\betaα,β are the zeroes of the quadratic polynomial ax2+bx+cax^2 + bx+cax2+bx+c, a≠0a ≠0a=0 then α2+β2=\alpha^2+\beta^2=α2+β2=

The Correct Option is C

Solution and Explanation

Top Questions on Polynomials

Questions Asked in TS POLYCET exam

If $\alpha,\beta$ are the zeroes of the quadratic polynomial $ax^2 + bx+c$ , $a ≠0$ then $\alpha^2+\beta^2=$