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

Question

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:

$$3d^2(d+2)$$