Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?

2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k=

If you would like to know the value of the coefficient 'k' in the factored form, you can find this using the following steps:

2x^3 + 18x^2 - 18x - 162 = 2 * (x^3 + 9x^2 - 9x - 81) = 2 * (x^2(x + 9) - 9(x + 9)) = 2 * ((x + 9) * (x^2 - 9)) = 2 * (x + 9) * (x - 3) * (x + 3) = 2 * (x + 3) * (x - 3) * (x + 9)

The correct result would be: k = 3.

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