I am to factor this completely and I am stuck.

2r^3 + 8r^2 +6r

Note: x^2 is x-squared (that is, x with the superscript 2), etc.

2 is a factor and r is a factor so the equation becomes
2r(r^2 + 4r + 3)
then we can factor the term in parentheses. To do that, we know the first term in each set of parentheses must be r and r. Then we look for the last term something which multiplied together gives 3 but added together gives 4. The factors of 3 are 3 and 1, so
2r(r + 3)(r + 1). I hope this helps.

Thank you so much with your help. I understand a little better now.

You're welcome! I'm glad I could help you understand the process of factoring a bit better. Factoring can sometimes be tricky, but with practice, it becomes easier. Keep practicing and you'll get the hang of it! If you have any more questions or need further explanations, feel free to ask.