SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
5, -3, and -1 + 2i
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-> SOLUTION: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
5, -3, and -1 + 2i
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Question 1106850: Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
5, -3, and -1 + 2i Answer by greenestamps(13198) (Show Source):
If the polynomial is to have real coefficients, then complex roots must occur in conjugate pairs. Since -1+2i is a root, -1-2i must be another root.
The linear factors are (x-5) and (x+3); the quadratic factor corresponding to the two complex roots is (x^2+2x+5). The polynomial in standard form is then
