The quotient when 1 + x 2 + x 4 + x 6 + …… + x 34 is divided by 1 + x + x 2 + x 3 + …… + x 17 is

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The quotient when $1+x^{2}+x^{4}+x^{6}+\ldots \ldots+x^{34}$ is divided by $1+x+x^{2}+x^{3}+\ldots \ldots+x^{17}$ is

MathematicsQuadratic EquationKVPYKVPY 2017 (5 Nov SB/SX)

Options:

A $x^{17}-x^{15}+x^{13}-x^{11} \ldots \ldots+x$
B $x^{17}+x^{15}+x^{13}+x^{11}+\ldots \ldots+x$
C $x^{17}+x^{16}+x^{15}+x^{14}+\ldots \ldots+1$
D $x^{17}-x^{16}+x^{15}-x^{14}+\ldots \ldots-1$

Solution:

2687 Upvotes Verified Answer

The correct answer is: $x^{17}-x^{16}+x^{15}-x^{14}+\ldots \ldots-1$

Do in this way option (D)

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