Algebra 1 easy question please answer

a. $footnotesize{f(x) = -2x^3 + x^2 + 8x + 2}$
b. $footnotesize{f(x) = 5x^2 - 20}$
c. $footnotesize{f(x) = 5x^3 - 15x^2 - 90x}$
d. $footnotesize{x^2 - 3x - 5 = 5}$
e. $footnotesize{f(x) = 12x^3+6x^2-6x}$
f. $footnotesize{f(x) = }normalsize{frac{(x+5)}{x}}$
g. $footnotesize{f(x) = x^2 - 6}$

1. Please be prepared to demonstrate how to factor each equation. (You may find you have to graph some functions and then use the graph’s intercepts to determine what the factors are. You may also have to estimate these functions’ solutions.)
2. What are some of the strategies you can use to factor polynomials? How do the factors of a function relate to the graph of the function?
3. Which is the best and simplest way to solve polynomials (including quadratics)? Why would you argue for this method?
4. Are there situations when your answer from part 3 would not be the best method? What are those situations?
5. Show how to invert equations f and g. Determine the relationship between a function and its inverse and whether the domain and range of all functions and their inverses follow a pattern. 

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