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Question

From the sum of z3 + 3z2 + 5z + 8 and 4z3 + 2z2 - 7z - 2 subtract 2x3 - 3z2 + z - 4.

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Solution

Required polynomial = z3+3z2+5z+8+4z3+2z2-7z-2-2z3-3z2+z-4 =z3+3z2+5z+8+4z3+2z2-7z-2-2z3+3z2-z+4 =z3+4z3-2z3+3z2+2z2+3z2+5z-7z-z+8-2+4 =3z3+8z2-3z+10

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