1.) an expression is shown below:

10n^3 − 15n^2 + 20xn^2 − 30xn

part a: rewrite the expression so the gcf is factored completely.

2.) part a: the area of a square is (9x^2 − 12x + 4) square units. determine the length of each side of the square by factoring the area expression completely. show your work.

part b: the area of a rectangle is (25x^2 − 16y^2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work.

3.) an expression is shown below:

f(x) = 2x^2 − 3x − 5

part a: what are the x-intercepts of the graph of f(x)? show your work.

part b: is the vertex of the graph of f(x) going to be a maximum or minimum? what are the coordinates of the vertex? justify your answers and show your work.

part c: what are the steps you would use to graph f(x)? justify that you can use the answers obtained in part a and part b to draw the graph.