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← GATE CSE 2016 Set 2

Q02

NAT1 mark

Let f(x)f(x) be a polynomial and g(x)=f′(x)g(x)=f'(x) be its derivative. If the degree of (f(x)+f(−x))(f(x)+f(-x)) is 1010, then the degree of (g(x)−g(−x))(g(x) - g(-x)) is __________.

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