QUESTION #1:

An expression is shown below:

4ck² + 10k² 16ck 40k Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of the work.

QUESTION #2:

Part A: The area of a square is (9a² 24a + 16) square units. Determine the length of each side of the square by factoring the area expression completely and the work should be shown. Part B: The area of a rectangle is (25a² 36b²) square units. Determine the dimensions of the rectangle by factoring the area expression completely and the work should be shown.

QUESTION #3:

Given the expression: 4x¹⁰ 64x² Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of the work.

QUESTION #4:

Use the function f(x) = 16x² + 22x + 3 to answer the questions. Part A: Completely factor f(x). Part B: What are the x-intercepts of the graph of f(x)? Show the work. Part C: The end behavior of the graph of f(x) should be described and explained. Part D: What are the steps that would be used to graph f(x)? Justify that the answers obtained in Part B and Part C to can be used to draw the graph.