Algebra Polynomial Project Help

I have an urgent college-algebra project that focuses exclusively on polynomials—factoring, synthetic division, root analysis, graph behavior, and everything in between. I’ve gathered the questions and initial data, but I need a seasoned algebra mind to complete the work and walk me through the reasoning so I can learn from it afterward.

Turnaround is critical: I’m looking to review your finished work as soon as possible, ideally within the next 24 hours. A clear, step-by-step solution set (handwritten or typeset), brief explanations of each method used, and any supporting calculator or computer-algebra output will be enough for me to submit confidently. If you prefer using tools like Wolfram Alpha, GeoGebra, or even a CAS-enabled graphing calculator, that’s perfect—just include screenshots or notation so I can replicate the steps later.

Once you send the final write-up, I’ll verify accuracy and formatting right away, so please be ready for a quick follow-up in case small clarifications are needed. Looking forward to your help on this polynomial deep dive.