Binomial Theorem Ques 58

The sum of the coefficients of the polynomial $\left(1+x-3 x^{2}\right)^{2163}$ is …. .

$(1982,2 \mathrm{M})$

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Answer:

Correct Answer: 58.$(-1)$

Solution:

Formula:

Multinomial theorem:

  1. Sum of coefficients is obtained by putting $x=1$

i.e. $\quad(1+1-3)^{2163}=-1$

Thus, sum of the coefficients of the polynomial $\left(1+x-3 x^{2}\right)^{2163}$ is $-1$ .



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