Find All Complex Zeros of the Polynomial Function $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } - 16 x + 18$

question 51

Multiple Choice

Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as necessary.
- $f ( x ) = x ^ { 3 } + 7 x ^ { 2 } - 16 x + 18$

• A) \(1 + i , 1 - i , 9\)
• B) \(1 + i , 1 - i , 9 i\)
• C) \(1 + i , 1 - i , - 9\)
• D) \(1 + i , - 9,9\)

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Definitions:

Trinomial

A polynomial equation or expression that consists of three terms.

Integers

Integers encompass whole numbers that may be negative, positive, or zero but exclude any fractional or decimal numbers.

Factor

To break down a number or expression into its constituent parts that, when multiplied together, give the original number or expression.

Trinomial

A trinomial, which is made up of three separate monomials or terms.