If n is the degree of the polynomial, … … and m is the coefficient of x^n in it, then the ordered pair (n, m) is equal to :

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Binomial Theorem

JEE Main 2018 · 15 Apr, Morning shift · Q2976

MathematicsHard64×since 2002Q2976

If n is the degree of the polynomial,

{\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} +

{\left[ {{2 \over {\sqrt {5{x^3} + 1} + \sqrt {5{x^3} - 1} }}} \right]^8}

and m is the coefficient of x^n in it, then the ordered pair (n, m) is equal to :

JEE Main 2018 · 15 Apr, Morning shift · Q2976

MathematicsHard64×since 2002Q2976

If n is the degree of the polynomial,

{\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} +

{\left[ {{2 \over {\sqrt {5{x^3} + 1} + \sqrt {5{x^3} - 1} }}} \right]^8}

and m is the coefficient of x^n in it, then the ordered pair (n, m) is equal to :