JEE Main 2021 — Definite Integration Question with Solution
From: JEE Main 2021 (Online) 16th March Evening Shift
Question
Let P(x) = x2 + bx + c be a quadratic polynomial with real coefficients such that = 1 and P(x) leaves remainder 5 when it is divided by (x 2). Then the value of 9(b + c) is equal to :
Choose an option
Show full solutionCorrect option: C
Correct answer
C7
Step-by-step explanation
Put x = 2
5 = 2b + c + 4 .... (1)
.... (2)
Solve (1) & (2)
9(b + c) = 7
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Definite Integration chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2021, covering the Definite Integration 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.