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A fifth-degree polynomial equation with rational coefficients has the roots 3, 8i, and 7- radical 5. Which are also roots of the polynomial equation?

A fifthdegree polynomial equation with rational coefficients has the roots 3 8i and 7 radical 5 Which are also roots of the polynomial equation class=

Respuesta :

Using complex numbers and radicals, it is found that the correct option is C.

When a complex number is a root of a polynomial function, it's conjugate also has to be.

  • Hence, since 8i is a root of the function, -8i is also a root.

The same is valid for radicals, as they are in the [tex]\pm[/tex] format.

  • Since [tex]7 - \sqrt{5}[/tex] is a root, [tex]7 + \sqrt{5}[/tex] is also a root.

Hence, option C is correct.

For more on complex numbers and radicals, you can check https://brainly.com/question/25173944

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