Question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
3d^3+6d^2

Answer 1

To factor out the greatest common factor (GCF) from the polynomial \(3d^3 + 6d^2\), we first identify the GCF of the coefficients (3 and 6) and the variable parts.

The GCF of the coefficients 3 and 6 is 3. For the variable part, the smallest power of \(d\) in both terms is \(d^2\).

Thus, the GCF of the entire expression is \(3d^2\).

Now we can factor \(3d^2\) out of the polynomial:

\[
3d^3 + 6d^2 = 3d^2(d + 2)
\]

So, the factored form is:

\[
3d^2(d + 2)
\]