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The sum of the coefficeints of the polyn...

The sum of the coefficeints of the polynominal `(1 + x - 3x^(2))^(2163)` is …….

Text Solution

Verified by Experts

Sum of coefficients is obtained by putting `x=1`.
i.e. `(1+1-3)^(2163)=-1`
Thus, sum of the coefficients of the polynomial `(1+x-3x^2)^(2163) ` is `-1`.
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Knowledge Check

  • The sum of the coefficients in the expansion of (1+x-3x^(2))^(2163) will be

    A
    0
    B
    1
    C
    `-1`
    D
    2

  • The sum of the coefficients in the expansion of (1 +x-3x^(2))^(4321) is

    A
    0
    B
    1
    C
    `-1`
    D
    `2^(4320)`

  • The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3))^(n) ,is

    A
    0
    B
    `2^(n)`
    C
    `3^(n)`
    D
    `4^(n)`

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