2x^3y + 18xy - 10x^2y - 90y

Part A: rewrite the expression so that the GCF is factored completely

Part B: rewrite the expression completely factored. Show the steps of your work

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Part A: the area of a square is (9x^2 + 24x + 16) 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 (16x^2 - 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

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f(x) = 2x^2 - 5x + 3

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 answer and show your work.


Part C: what are the steps you would use to graph f(x)? Justify that you can use the answer in part A and part B to draw the graph.