Complex Numbers and Quadratic Equations: JEE Main 2026 Mathematics question

JEE Main 2026 · 28 Jan, Morning shift · Q19

JEE Main 202628 Jan, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let

S=\{x^3+ax^2+bx+c: a,b,c\in\mathbb{N}

and

a,b,c\le20\}

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, Morning shift · Q19

JEE Main 202628 Jan, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

Let

S=\{x^3+ax^2+bx+c: a,b,c\in\mathbb{N}

and

a,b,c\le20\}

be a set of polynomials. Then the number of polynomials in S, which are divisible by

x^2+2

, is

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