Question 1057047
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Find a polynomial equation with real coefficients that has the roots of -5, 2+i
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The polynomial is p(x) = (x-(-5))*(x-(2+i))*(x-(2-i)) = (x+5)((x-2)-i)*((x-2)+i) = (x+5)*((x-2)^2+1) = (x+5)*(x^2 -4x + 5).


The polynomial equation is p(x) = 0.