Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

16d^2–36d

1 answer

To factor out the greatest common factor (GCF) from the polynomial \(16d^2 - 36d\), we first identify the GCF of the coefficients and the variable terms.

The coefficients are 16 and 36. The GCF of 16 and 36 is 4.

The variable terms are \(d^2\) and \(d\). The GCF of \(d^2\) and \(d\) is \(d\).

Thus, the GCF of the entire expression \(16d^2 - 36d\) is \(4d\).

Now we factor that out:

\[ 16d^2 - 36d = 4d(4d - 9) \]

So the factored form of the polynomial is:

\[ 4d(4d - 9) \]