### Question Description

I need an explanation for this Algebra question to help me study.

## Final Answer

Thank you for the opportunity to help you with your question!

1. 6(2x^2+x+3) the other answers do not factor completely bc you can still factor by 3 or 2, respectively

2. (X+1)((x-15) its the only response that will give you the -14 in the middle x^2-15x+x-15 which simplified is the expression given x^2-14x-15

3. (5n-1)(3n-1) 15n^2-5n-3n+1 simplified is 15n^2-8n+1

4. =4x^2-20x+3x-15=0

=4x(x-5)+3(x-5)=0

=(x-5)(4x+3)=0

Hence

X-5=0 that is x=5 or

4x+3=0

4x=-3

X=-3/4

Your answer is {-3/4,5}

5 if you plug it into a graphing calculator your answer is -3.71

Please let me know if you need any clarification or need any help on any other questions! I'm always happy to help!