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Let \(S={{x}^{3}+a{x}^{2}+bx+c:a,b,c\in N\) and \(a,b,c\leq 20}\) be a set of polynomials. Then the number of polynomial…

Q1

Let \(S={{x}^{3}+a{x}^{2}+bx+c:a,b,c\in N\) and \(a,b,c\leq 20}\) be a set of polynomials. Then the number of polynomials in \(S\), which are divisible by \(x^2+2\), is

[JEE Main 2026, 28 Jan (Shift 1)]

a

\(6\)

b

\(120\)

c

\(20\)

d

\(10\)

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