SOLUTION: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots. Express f(x) as a product of linear and quadratic polynomials wi

Question 71848: The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and +4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.
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f(x) = (x+3)(x-4i)(x+4i)
f(x) = (x+3)(x^2+16)
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Cheers,
Stan H.
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