Writing in descending-exponent form

Question

Assignment:

Q1. Simplify. (p⁴)² / p⁶

Q2. Write in descending-exponent form, and give the degree. x⁵ + 9x⁷ - 1

Q3. Find the value of the polynomial 6x - 1 when x = 3 and when x = -3.

Q4. Simplify. Write your answer with only positive exponents. m²m^-10

Q5. Subtract 2x - 3x² + 5x³ from 5x³ + 4x - x².

Q6. Multiply.   3xy²(5xy - 4x + 6y)

Q7. Multiply. (2x - 5y)(3x - y)

Q8. Multiply.  (2m - n)²

Q9. Divide. 70x³ + 10x² / -10x

Q10. Divide. x² - 3x - 54 / x + 6

Q11. Find the greatest common factor. 16b⁹, 24b², 48b¹⁰

Q12. Factor.  12x⁴y³ + 16x³y³ - 20x³y⁴

Q13. Factor completely. x² - 11x + 18

Q14. Factor completely. x³ + 6x² + 5x

Q15. Factor by grouping. x³ - 5x² + 2x - 10.

Q16. Factor completely.  15x² - 21x + 6

Q17. Give an example of using polynomials in "real life" applications.

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