Question

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4)-1 and 3 + 2i A) (x)= x3 + 5x2 +7x + 13 B)(x) = x3 - 5x2 + 7x - 13 C)(x)= x3 - 5x2 + 7x + 13 D) f() = x3 - 5x2 + 7x + 14

Answer 1

$\begin{gathered} \Rightarrow(x+1)(x-(3+2i))(x-(3-2i) \\ \Rightarrow(x+1)(x-3-2i)(x-3+2i)_{} \\ \Rightarrow(x+1)(x^2-3x-2xi-3x+9+6i+2ix-6i+4) \\ \Rightarrow(x+1)(x^2-6x+13) \\ \Rightarrow x^3-6x^2+13x+x^2-6x+13 \\ \Rightarrow x^3-5x^2+7x+13 \end{gathered}$