Respuesta :
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.
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.