using long division method check whether the second polynomial is the factor of the first polynomial:---
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yes it is a factor as the result after the division is 0
first step
the quotient is z^2 and remainder is -z^3+z^2-2z+2
second step
the quotient is -z and remainder is z^2+2
third step
the quotient is 1 and the remainder is 0
So it is completely dividible and is a factor
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