Question

factor out the greatest common factor (gcf): 64d^5 - 32d^2
options:
32d^2(2d^3 - 1)
32d^2·2d^3 - 32d^2
32d(2d^4 - d)
8d(8d^4 - 4d)
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.

Explanation:

Step1: Find GCF of coefficients

The coefficients are 64 and 32. The GCF of 64 and 32 is 32.

Step2: Find GCF of variables

For \(d^5\) and \(d^2\), the GCF is \(d^2\) (using the lowest power of \(d\)).

Step3: Factor out GCF

Factor out \(32d^2\) from \(64d^5 - 32d^2\).
\(64d^5\div32d^2 = 2d^3\) and \(32d^2\div32d^2 = 1\).
So, \(64d^5 - 32d^2 = 32d^2(2d^3 - 1)\).

Answer:

A. \(32d^2(2d^3 - 1)\) (assuming the first option is \(32d^2(2d^3 - 1)\) as per the image)