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7) Describe the set of points Z in the complex plane that satisfies this equation. 3c) Write the polynomial in factored form: 1+z2 +z' +Z* +z3 +Z 13d) Find the partial fraction decompositions of each this rational function HINT: first apply the division algorithm to obtain a rational function of suitable form. (5z4+ 3z2 +1) (2z2+ 3z +1)

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|z- 1| + |z+1| = 7
Put z = x+ iy,
|x+iy -1| + |x + iy + 1| = 7

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