SOLUTION: Form a polynomial f(x) with real coefficents having the given degree and zeros:
Degree; 5 Zeros; -4i; -i, -3+i
Algebra.Com
Question 897373: Form a polynomial f(x) with real coefficents having the given degree and zeros:
Degree; 5 Zeros; -4i; -i, -3+i
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You can't have a 5th degree polynomials with these 3 roots.
Polynomials with real coefficients, if they have complex roots, must have roots that are complex conjugate pairs.
Since you already have 3 complex roots, the conjugate pairs would make another 3 roots making this a 6th degree polynomial.
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