The sum of the coefficients of the polynomial p(x)=(3x-2^17(x+1)^4 is:

16

-1

10

Please explain.

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Solution

P(x)=(3x-2)^17(x+1)^4
for the sum of coefficient first it will be expended and as every term contain x so when we put x=1 we get the sum of coefficient so directly put x=1 in the equation to get Sum.
P(1)=(31-2)^17(1+1)^4
=(1^17)(2^4)
=16

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