20 !will give ! question 1 part a: the area of a square is (4x2 − 12x + 9) square units. determine the length of each side of the square by factoring the area expression completely. show your work. (5 points) part b: the area of a rectangle is (16x2 − 9y2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work. (5 points) question 2 an expression is shown below: f(x) = 2x2 − 3x − 5 part a: what are the x-intercepts of the graph of f(x)? show your work. (2 points) 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. (3 points) 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. (5 points)