SOLUTION: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree​ 4; ​ zeros: −4−5i; −2 multiplicity 2

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Question 1086132: Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree​ 4; ​ zeros:
−4−5i; −2 multiplicity 2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Real coefficients means complex roots come in complex conjugate pairs.
f%28x%29=%28x%2B%28-4-5i%29%29%28x%2B%28-4%2B5i%29%29%28x%2B2%29%5E2
f%28x%29=%28x%5E2-8x%2B41%29%28x%5E2%2B4x%2B4%29
f%28x%29=x%5E4-4x%5E3%2B13x%5E2%2B132x%2B164