Let $f(x)$ be a quadratic polynomial such that $f(-2)+f(3)=0$. If one of the roots of $f(x)=0$ is $-1$, then the sum of the roots of $f(x)=0$ is equal to :

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 28 June 2022, Shift 2, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Let

f(x)

be a quadratic polynomial such that

f(-2)+f(3)=0

. If one of the roots of

f(x)=0

-1

, then the sum of the roots of

f(x)=0

is equal to :

(1) $\frac{11}{3}$ Official answer
(2) $\frac{7}{3}$
(3) $\frac{13}{3}$
(4) $\frac{14}{3}$

Official answer

Option 1

NTA final key.

Chapter: Complex Numbers and Quadratic Equations
Topic: Quadratic Roots
Idea tested: Root-Coefficient Relation

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Asked 15× in all

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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.