SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form. 4, -8, and 2 + 5i

Question 1125277: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
4, -8, and 2 + 5i
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2-5i is another root, because complex roots come as conjugates.
factors are (x-4)(x+8) and x-2-5i and x-2+5i
The first two multiply to x^2+4x-32
The last two are x^2-4x+29
The polynomial is 4th degree
x^4-19x^2+244x-928

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given zeros:
, , and
since you have , you also have because complex zeros come always in pairs

so, your unction has four zeros, and it will be a polynomial function of fourth degree

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