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Polynomial f(x) and one or more of it f(x)=x^(4)-2x^(3)+-1x² +12x-30 1-2i is a zero

User Rok Jarc
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1 Answer

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Final answer:

To determine if 1 - 2i is a zero of the given polynomial f(x), substitute it into the polynomial and simplify the expression.

Step-by-step explanation:

The given polynomial is:

f(x) = x^4 - 2x^3 - 1x^2 + 12x - 30

The zero given is: 1 - 2i

To determine if 1 - 2i is a zero of the polynomial, we can substitute it into the polynomial and see if it equals zero. If it does, then 1 - 2i is a zero.
Let's substitute 1 - 2i into the polynomial:

f(1 - 2i) = (1 - 2i)^4 - 2(1 - 2i)^3 - 1(1 - 2i)^2 + 12(1 - 2i) - 30

Simplifying this expression will help us determine if 1 - 2i is a zero of the polynomial.

User Ticketsbros
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