SOLUTION: Okay so I have this problem: "form a polynomial f(x) with real coefficients having the given degree and zeros" Given degree: 5th degree Zeros: 1, multiplicity 3; 1+i I have a

Question 491102: Okay so I have this problem: "form a polynomial f(x) with real coefficients having the given degree and zeros"
Given degree: 5th degree
Zeros: 1, multiplicity 3; 1+i
I have absolutely no idea how to do this so any work shown would help me out a lot so I can figure out how to do my other problems like this
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
two pertinent facts:
___ if r is a root (zero) of a polynomial, then x-r is a factor of the polynomial
___ complex roots (containing i) occur in conjugate pairs (x+i and x-i)

using these facts, the FACTORS of the polynomial are:

(x-1)(x-1)(x-1)[x-(1+i)][x-(1-i)]

multiplying the factors together will yield the polynomial
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