If the equation with integral coefficients has four distin…

Maths JEE Main Full Syllabus Mock Test 75 Question New Syllabus. TEST 13 PCM Single Correct MCQ

Published on: August 13, 2026

If the equation with integral coefficients has four distinct integral roots, then the total number of integral roots of the equation is equal to

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The correct answer is:

Let be four distinct integral roots of equation.

………(i)

where is a polynomial of degree ( )
Let be an integral root of equation

Now k is an integer and are distinct integers, hence should also be distinct integers and so

has no integral solution.
⇒ Number of integral roots

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