test","extracted_subject":"MATH","extracted_chapter":"QUADRATIC EQUATIONS","extracted_topic":"SOLUTION OF QUADRATIC EQUATIONS AND NATURE OF ROOTS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2142.png?top_left_x=1064&top_left_y=1342&width=532&height=215&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e73425d76b7ab32086c","slug":"the-polynomial-axsup2sup-bx-c-axsup2sup-dx-c-ac-0-","content":"The polynomial (ax² + bx + c) (ax² –dx –c); ac ¹ 0 has-","options":[{"_id":"68a3eae17f15af4716c6fdd5","text":"Four real zeros","sequence":0,"isCorrect":false},{"_id":"68a3eae17f15af4716c6fdd6","text":"At least two real zeros","sequence":1,"isCorrect":true},{"_id":"68a3eae17f15af4716c6fdd7","text":"At most two real zeros","sequence":2,"isCorrect":false},{"_id":"68a3eae17f15af4716c6fdd8","text":"None of the above","sequence":3,"isCorrect":false}],"correct_answer":"At least two real zeros","explanation":"D₁ = b² –4ac and D₂ = a² + 4ac\n\nD₁ + D₂ = b² + d² \\> 0\n\nSo at least of D₁ and D₂ is positive.\n\nHence polynomial has at least two real zeros.","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:39.883Z","__v":0,"vector_store_id":"b91c0e02-e921-4189-8106-5cd86c2e777e","updated_at":"2024-08-30T21:49:39.883Z","isStarred":false},"params":{"questionSlug":"the-polynomial-axsup2sup-bx-c-axsup2sup-dx-c-ac-0-"}}]}]]

Question: The polynomial (ax<sup>2</sup> + bx + c) (ax<sup>2</sup> –dx –c); ac ¹ 0 has-...

Solution