JEE Main 2021 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 18 March 2021, Shift 2, Maths Q81

Question 81 of 90 in this shift, Maths question 21 of 30, Section B.

f(x)

and

g(x)

are two polynomials such that the polynomial

P(x)=f(x^3)+x\,g(x^3)

is divisible by

x^2+x+1

, then

P(1)

is equal to ___________.

Official answer

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Roots of Unity
Idea tested: Polynomial Remainder via Roots

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Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.