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MathsJEE Main 28 Jan 2026, Shift 1·Q8·MCQ·Easy–moderate

Quadratic Equations · Polynomial divisibility

Let S={x3+ax2+bx+c:a,b,c∈N and a,b,c≤20}S = \{x^3 + ax^2 + bx + c : a, b, c \in \mathbb{N} \text{ and } a, b, c \le 20\} be a set of polynomials. Then the number of polynomials in SS, which are divisible by x2+2x^2 + 2, is
  1. (1)20
  2. (2)6
  3. (3)120
  4. (4)10

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