Strategy for factoring a polynomial

Question

Assignment:

Make sure to superscript all exponents. If you believe that a polynomial is not factorable, label it as prime. Show all stages of factoring separately (i.e., show the result of factoring out a GCF before taking the resulting polynomial and factoring it again).

1. Factor completely: x⁵y³ - 9x⁴y² + 20x³y

2. Factor completely: x³ - 3x² + 6x - 18

3. Factor completely: x² + 5x + 6

4. Factor completely: 7x² - 28y²

5. Factor completely: 3x² + 23x - 36

6. Factor completely: 8x² - 32x + 24

7. Factor each polynominal: X^2 - 4

8. Describe your strategy for factoring a polynomial. Give an example showing all of your steps.

Provide complete and step by step solution for the question and show calculations and use formulas.