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 w

Question 48067: 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.
f(x) =(x^2-8x+16)*(x+3)
i think that equation satisfies the conditions given.
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.
If 4i is a zero, so is -4i.
f(x)=(x+3)(x-4i)(x+4i)
f(x)=(x+3)(x^2+16)
Cheers,
Stan H.
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