Question

what must be subtracted from z exponent 4 + 6z exponent 3 + 13 Z exponent 2 + 13z + 8 so that the resulting polynomial is exactly divisible by Z exponent 2 +3z+2

Answer 1

So z + 4 should be subtracted from z^4 + 6z^3 + 13z^2 + 13z + 8 so the resulting polynomial will be divisible by z^2 + 3z + 2