Adi used algebra tiles to represent the product .

Which monomial is a perfect cube?
How could Brent use a rectangle to model the factors of x2 – 7x + 6?
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
The table represents the multiplication of two binomials.

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2+17x−175. The cost, in dollars, of producing the jeans can be modeled by 2x2−3x−125. The number of pairs of jeans that have been sold is represented by x. If the profit is the difference between the revenue and the cost, which expression can be used to find profit and what is that profit when 75 pairs of jeans are sold?
Which expression is equivalent to ?

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
What is the difference of the polynomials?(8r6s3 – 9r5s4 + 3r4s5) – (2r4s5 – 5r3s6 – 4r5s4)
Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?
Which model represents the factors of x2 + 9x + 8?




Simplify the expression –2(p + 4)2 – 3 + 5p. What is the simplified expression in standard form?
Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.
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