Write a function with the given characteristics:

A polynomial with rational coefficients having roots 3, 3, and 3-i

show work

Question

Mathematics

Rafael Jefferson

16 April, 23:37

Write a function with the given characteristics:

A polynomial with rational coefficients having roots 3, 3, and 3-i

show work

+1

Answers (1)

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Shane Wright · Answer 1

If polynomial with rational coefficients has root 3 - i, it also has a root 3 + i (complex conjugate). The example of polynomial with roots 3, 3, 3 - i, 3 + i is (x-3) 2 (x - (3-i)) (x - (3+i)) = (x-3) ² (x-6x+10) = x4-12x3+55x2-114x+90.

Write a function with the given characteristics:A polynomial with rational coefficients having roots 3, 3, and 3-ishow work

Write a function with the given characteristics:

A polynomial with rational coefficients having roots 3, 3, and 3-i

show work