Find a third degree polynomial with real coefficients that has zeros of 5 and \( -2 i \) such that \( f(1)=10 \). Select the correct answer below: \( x^{3}-5 x^{2}+4 x-20 \) \( -x^{3}+5 x^{2}-4 x+20 \) \( \frac{1}{2} x^{3}-\frac{5}{2} x^{2}+2 x-10 \) \( -\frac{1}{2} x^{3}+\frac{5}{2} x^{2}-2 x+10 \)
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The given zeros are 5 and \(-2i\). Since the polynomial has real coefficients, the complex conjugate \(2i\) must also be a zero. Show more…
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