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How is the number of vertices for a prism related to the name of the prism

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. 3, 4+2i, 1+(sqrt)7 the answer is supposed to be: f(x)=x(^5)-13x(^4)+60x(^3)-82x(^2)-144x+360 what am i doing wrong?

Ab based on the given diagram, if m_1 = 60° then m 2 = 30 60 90 180