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Information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 3; zeros: -9, 9- i

Information is given about a polynomial fx whose coefficients are real numbers Find the remaining zeros of f Degree 3 zeros 9 9 i class=

Respuesta :

Using the Complex Conjugate Root Theorem, we know that if a complex number a+bi is a root of a complex polynomial with real coefficients, then a-bi, the complex conjugate of a+bi, is also a root.

Since -9 and 9-i are roots of f, and -9 is a real number, then the remaining zero of the function must be the complex conjugate of 9-i:

[tex]9+i[/tex]

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