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Find the remaining zer Degree 3; zeros: 5, 7- i The remaining zero(s) of f is

Sagot :

Answer:

The remaining zero is;

[tex]7+i[/tex]

Explanation:

Given that two of the zeros of a polynomial are;

[tex]\begin{gathered} 5 \\ 7-i \end{gathered}[/tex]

to get the remaining zero.

Recall that according to complex conjugates, complex roots/zeros comes in pairs;

[tex]\begin{gathered} a+bi \\ \text{and} \\ a-bi \end{gathered}[/tex]

where a and b are real numbers.

Applying the rule to the given roots.

Since we have a complex root;

[tex]7-i[/tex]

we must also have the other pair of the complex root;

[tex]7+i[/tex]

Therefore, the remaining zero is;

[tex]7+i[/tex]