Find the greatest common factor of the terms of the polynomial. $$ 15 x^{4}+9 x^{3} $$

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To find the greatest common factor (GCF) of the terms of the polynomial $$ 15 x^{4} + 9 x^{3} $$, we will follow these steps:

1. **Identify the coefficients**: The coefficients of the terms are 15 and 9.
2. **Find the GCF of the coefficients**: We need to find the GCF of 15 and 9.
3. **Identify the variable part**: The variable parts of the terms are $$ x^{4} $$ and $$ x^{3} $$.
4. **Find the GCF of the variable parts**: The GCF of $$ x^{4} $$ and $$ x^{3} $$ is $$ x^{3} $$.

Now, let's calculate the GCF of the coefficients:

- The factors of 15 are: $$ 1, 3, 5, 15 $$
- The factors of 9 are: $$ 1, 3, 9 $$

The greatest common factor of 15 and 9 is $$ 3 $$.

Now, combining the GCF of the coefficients and the variable part, we have:

$$
\text{GCF} = 3x^{3}
$$

Thus, the greatest common factor of the terms of the polynomial $$ 15 x^{4} + 9 x^{3} $$ is $$ \boxed{3x^{3}} $$.
The greatest common factor is $$ 3x^{3} $$.

Find the greatest common factor of the terms of the polynomial. \[ 15 x^{4}+9 x^{3} \]

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