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Answer :
The zeros of f(x) are: 1, -3-2i, and 4 given where a polynomial f (x) and two of its zeros are given.
To find all the zeros of the given polynomial, we set up the factors using the given zeros and perform the complete calculation to obtain the final answer.
To find all the zeros of the given polynomial, we follow a step-by-step process:
- First, we use the given zeros (1, -3-2i, and 4) to set up the factors of the polynomial.
- For the zero 1, we have (x - 1) as a factor.
- For the zero -3-2i, we have (x - (-3-2i)) = (x + 3 + 2i) as a factor.
- For the zero 4, we have (x - 4) as a factor.
- Next, we multiply these factors to obtain the final polynomial equation.
After performing the complete calculation, the zeros of f(x) are: 1, -3-2i, and 4.
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