Let S={x^3+a x^2+b x+c: a, b, c ∈ N. and.a, b, c ≤ 20} be a set… — JEE Main Mathematics 2026 | SolveIt

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Mathematics · 2026

Quadratic Equations

JEE Main · 28 January 2026, Shift 1 · Q1

Let $\displaystyle \mathrm{S}=\left\{x^3+a x^2+b x+c: a, b, c \in \mathrm{~N}\right.$ and $\displaystyle \left.a, b, c \leq 20\right\}$ be a set of polynomials. Then the number of polynomials in S , which are divisible by $\displaystyle x^2+2$, is

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