Question

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
5v3–5v2

Answer 1

To factor out the greatest common factor from the polynomial \( 5v^3 - 5v^2 \):

1. Identify the common factors in each term:
- Each term has a coefficient of \( 5 \) and a factor of \( v^2 \).

2. The greatest common factor (GCF) is \( 5v^2 \).

3. Now, factor out the GCF:
\[
5v^3 - 5v^2 = 5v^2(v - 1)
\]

So, the factored form of the polynomial is:
\[
5v^2(v - 1)
\]