Which of the following is a polynomial with roots 2, 3i, and −3i? f(x) = x3 − 2x2 + 6x − 9 f(x) = x3 − 6x2 + 9x − 18 f(x) = x3 − 6x2 + 18x − 2 f(x) = x3 − 2x2 + 9x − 18

Step-by-step explanation:

The roots of the polynomial are .

This implies that are factors of the given polynomial.

The polynomial will have equation;

We expand using difference of two squares on the complex conjugates to get;

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Recall that;

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Expand using the distributive property to get;

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We rewrite in standard form to obtain;

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

853.3

step-by-step explanation: