SOLUTION: Let f be a fourth-degree polynomial function with real coefficients. Three of the zeros of f are -1,2, and 3+2i. What is the fourth zero? Explain

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Let f be a fourth-degree polynomial function with real coefficients. Three of the zeros of f are -1,2, and 3+2i. What is the fourth zero? Explain      Log On


   



Question 761182: Let f be a fourth-degree polynomial function with real coefficients. Three of the zeros of f are -1,2, and 3+2i. What is the fourth zero? Explain
Answer by josgarithmetic(39618) About Me  (Show Source):
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The situation is comparable to a quadratic equation which has two complex zeros. Complex zeros having imaginary components occur in conjugate pairs. The conjugate of 3+2i is 3-2i.