JEE Main 2026 — Quadratic Equation Question with Solution
JEE Main 2026 (28 January Shift 1)
Question
Let and be a set of polynomials. Then the number of polynomials in S, which are divisible by , is
Choose an option
Show full solutionCorrect option: A
Correct answer
A10
Step-by-step explanation
If divides , write .
Expanding: .
Comparing coefficients: , , .
Constraints: , , and .
So , giving 10 polynomials.
Expanding: .
Comparing coefficients: , , .
Constraints: , , and .
So , giving 10 polynomials.
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This is a previous-year question from JEE Main 2026, covering the Quadratic Equation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.