The zeroes of the polynomial are 1 + i, 1 – i, and 3. Then the polynomial of the lowest degree will be x³ – 5x² + 8x – 6.
What is polynomial?
A polynomial expression is an algebraic expression with variables and coefficients.
The zeroes of the polynomial will be 1 + i, 1 – i, and 3.
Then the factor of the polynomial will be (x – 1 – i), (x – 1 + i), and (x – 3).
Then the polynomial will be
(x – 1 – i)(x – 1 + i)(x – 3)
[(x – 1)² – i²](x – 3)
(x² – 2x + 2)(x – 3)
x³ – 2x² – 3x² + 2x + 6x – 6
x³ – 5x² + 8x – 6
More about the polynomial link is given below.
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