AnalisaP60517 AnalisaP60517
  • 25-10-2022
  • Mathematics
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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, -5-i

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CaitlynnA144690 CaitlynnA144690
  • 25-10-2022

Given:

The degree of the polynomial f is 3.

the zeros are 9 and -5-i.

We know that the degree of the polynomial = the number of zeros of the polynomial.

The number of zeros of the polynomial =3.

We have two zeros, we need to find the one zero of the given polynomial.

Recall that the complex zeros are always in pairs.

The conjugate of -5-i is

[tex]-5+i[/tex]

Hence the remaining zero of the polynomial is

[tex]-5+i[/tex]

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