1) Determine all the possible potential rational Zeros / 8 x3 - 14 2 ) List all the possible rational zeros of the polynomial function a. f (x ) = x 3 - 14x - 14 b. f(x) = x5 - 6x4+ 3x3 - x2 + 4X-48 C. f ( x ) = 1 1x4 - 4x 2 - x+ 125 d. f( x ) = x 4 - 25+ 3x + 4x5 e. f ( x ) = lex3-8x6 + 12x 2 - 81- 7X 3 ) Determine the possible # of positive real zeros negative real zeros of each polynomial function using Descartes' rule of signs . a . f ( x ) = - 2 x5 + 14 x 4- 18 x3 - 5x 2+8x- 10 b. f(x)= -2x+ 3x3- 8x2 +5x-7 C. f( x ) = 4*4 +17x4+lex2 +8 4 ) find all complex zeros of the given polynomial function ? write the polynomial in completely factored form. * find all complex zeros of f. Repeat any zeros if their multipicity is greater than 1. a ) f ( x ) = 2 x3 + 3 x2 - 72 x + 35 b) f ( x ) = 3 x3 + 7 x2 - 9x - 21 C J f ( x ) = - 2x3 - 19x2- 138 x+ 74 d ) f ( x ) = 4 X 4 - 1 1 x3 + 3 x2 + 3X - 1 5 ) form the third- degree polynomial with real coefficients with leading coefficient 1, such that 5 + i f- 6 are zeros . 4 ) form a polynomial f (x ) with real Coefficients , with leading Coefficients I , having the given degrees $ zeros Degree 4 ; zeros - 4- Six S of multiplicity 2 7 ) form a fifth - degree polynomial function with real Coefficients such that 4i, 1 - 3it -4 are zeros flo ) = 1280