High School

Given the function [tex]f(x) = 2x^5 + 11x^4 + 44x^3 + 31x^3 - 148x + 60[/tex], find all the zeros. Write the answer in exact form. If there is more than one answer, separate them with commas. Select "None" if applicable.

The zeros of [tex]f(x)[/tex]:

[tex]-2 \pm 4i, 1, 1, -3[/tex]

Answer :

The zeros of the function f(x) = 2x⁵ + 11x⁴ + 44x³+ 31x³ - 148x + 60 are: -2±4i, 1, 1, -3.

What are the exact solutions for the zeros of the function f(x) = 2x⁵ + 11x⁴ + 44x³ + 31x³ - 148x + 60?

The function f(x) has multiple zeros, which can be determined by setting f(x) equal to zero and solving the resulting equation. The zeros of f(x) are -2±4i, 1, 1, and -3. The term "±4i" represents complex solutions, indicating that the function has non-real zeros. The values 1 and -3 are repeated zeros, meaning they occur multiple times. None of the zeros are given in exact form, as the complex solutions are expressed using the imaginary unit "i" and the repeated zeros are listed as they are.

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