SOLUTION: find the nth degree polynomial function with real coefficients satisfying the given conditions. n=3; -1 and -2 + 3i are zeros; leading coefficient is 1

Question 762784: find the nth degree polynomial function with real coefficients satisfying the given conditions.
n=3; -1 and -2 + 3i are zeros; leading coefficient is 1

Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Your THREE roots are -1, -2+3i, AND -2-3i.

Build your polynomial function using the polynomial factors according to the now known roots:

Let us do something more convenient with the complex polynom factors.

You should notice what makes the difference of two squares.

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