(a) Show that r= 3 is a solution of 3z 15+ 17z + 3 = 0. (b) Hence name the theorem that allows us to write 3. (r-3) (br + cz+ d) 15 + 17r +3 0 as 0 where 6, c and d are numbers. c) Use long polynomial division to show that b= 3,c=-6 and d = -1. d) Complete the square for the expression 3-62-1 and find the coordinates of its extremum.

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