SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form 4, -14, and 5 + 8i

Question 1113706: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form 4, -14, and 5 + 8i
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The roots are 4, -14, and if 5+8i is a root, so is 5-8i
(x-4)(x+14)(x-5-8i)(x-5+8i) are all the roots.
(x^2+10x-56)(x^2-10x+25+64) which is what -64i^2 is.
(x^2+10x-56)(x^2-10x+89)
=x^4-67x^2+1450x-4984

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