Factor out the greatest common factor. If the greatest common factor is \( 1, j \) just retype the polynomial. \( 8 d^{3}-6 d \)

The greatest common factor (GCF) of the terms \( 8d^3 \) and \( -6d \) is \( 2d \). When we factor this out, we get: \[ 2d(4d^2 - 3). \] Thus, the completely factored form of the polynomial is \( 2d(4d^2 - 3) \). To avoid mistakes while factoring, always start by identifying the coefficients and the variables in each term. Look for the highest power of common variables and the largest numeric factor that can divide all terms evenly. Neglecting these steps can lead to incorrect or incomplete factoring, which can disrupt the solving process!