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JEE MATHEMATICS MCQ: PERMUTATIONS

1 Easy

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Application +4 | -1

The number of polynomials of the form

x^3+a x^2+b x+c

that are divisible by

x^2+1

, where

a

,

b, c \in\{1,2,3,4,5,6,7,8,9,10\}

, is

View answer and explanation

Correct option: A

10

Option A (10) is correct because the divisibility condition implies that b=1 and a=c, so there are 10 choices for a and c.

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