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Find a power series representation for $ f, $ and graph $ f $ and several partial sums $ s_n(x) $ on the same screen. What happens as $ n $ increases?$ f(x) = \tan^{-1} (2x) $

Factor each polynomial. If a polynomial cannot be factored,write prime. Factor out the greatest common factor as necessary.$$7 a^{3}+14 a^{2}$$

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.$$3 y^{3}+24 y^{2}+9 y$$

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.$$13 p^{4} q^{2}-39 p^{3} q+26 p^{2} q^{2}$$

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.$$60 m^{4}-120 m^{3} n+50 m^{2} n^{2}$$

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary.$$m^{2}-5 m-14$$