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 73224: 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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If 4i is a root and the polynomial has real coefficients then -4i is also
a root.
The polynomial is:
f(x)=(x+3)(x+4i)(x-4i)
f(x)=(x+3)(x^2+16)
Cheers,
Stan H.
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