 Solution

ID: past-exam-of-the-mathematical-methods-i-course-of-the-university-of-oxford/2019/9/c/ii/solution

For a monic polynomial of degree five, Vieta's formulas give the product of its polynomial roots as

(- 1)^{5}

times its constant coefficient. Therefore

j = 1 \prod 5 z_{j} = - 8.

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