-173+149 i is a root of f(x)=x^(2)+ 346 x+52130. Find the other roots of f(x). Write your answer as a list of simplified values separated by commas, if there is more than one value.

Determine total number of roots: The number of roots is equal to the degree of the polynomial. We have: f(x) = x^2 + 346x + 52130 Determine the total number of roots. The degree of f(x) is 2. So, the number of roots: 2.Find given root: If a + bi is a root, then its conjugate a - bi is also a root of f(x). Given root: -173 + 149i Find the other root of f(x) = x^2 + 346x + 52130. The conjugate of -173 + 149i is -173 - 149i. Since f(x) has only 2 roots, -173 - 149i is the only other root.

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-173+149 i is a root of
f(x)=x^(2)+
346 x+52130. Find the other roots of
f(x).
Write your answer as a list of simplified values separated by commas, if there is more than one value.

$-173+149 i$ is a root of $f(x)=x^{2}+$ $346 x+52130$ . Find the other roots of $\mathrm{f}(x)$ . $\newline$ Write your answer as a list of simplified values separated by commas, if there is more than one value.

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Math Problems

Algebra 2

Conjugate root theorems

Full solution

-173+149 i

is a root of

f(x)=x^{2}+

346 x+52130

. Find the other roots of

\mathrm{f}(x)

\newline

Write your answer as a list of simplified values separated by commas, if there is more than one value.

Determine total number of roots: The number of roots is equal to the degree of the polynomial. We have: $\newline$ $f(x) = x^2 + 346x + 52130$ $\newline$ Determine the total number of roots. The degree of $f(x)$ is $2$ . So, the number of roots: $2$ .
Find given root: If $a + bi$ is a root, then its conjugate $a - bi$ is also a root of $f(x)$ . Given root: $-173 + 149i$ $\newline$ Find the other root of $f(x) = x^2 + 346x + 52130$ . The conjugate of $-173 + 149i$ is $-173 - 149i$ . $\newline$ Since $f(x)$ has only $2$ roots, $-173 - 149i$ is the only other root.