Polynomial Expressions Unit Test Review

What is the product? (9t - 4)(-9t - 4)

-81t^2 + 16

What is the product? (x + 3)(2x - 1)

2x^2 + 5x - 3

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x^2 - 16) feet and (-x^2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

2x^2 + 8x - 30; 12 feet

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x^3 + 30x - 130. The cost, in dollars, of producing the skateboards can be modeled by 2x^3 - 3x - 520. The variable x represents the number of skateboards sold. What expression represents the profit?

33x + 390

The variables X, Y, and Z represent polynomials where X = a, Y = 3a - 5, and Z = a^2 + 2. What is X^2Y - Z in simplest form?

3a^3 - 6a^2 - 2

Which is equivalent to (-2m + 5n)^2, and what type of special product is it?

4m^2 - 20mn + 25n^2; a perfect square trinomial

What is the polynomial 3y^2 + (y + 7)^2 - 15 after it has been fully simplified and written in standard form?

4y^2 + 14y + 34

What is the product? (5r − 4)(r^2 − 6r + 4)

5r^3 - 34r^2 +44r - 16

What is the difference of the two polynomials? (7y^2 + 6xy) - (-2xy + 3)

7y^2 + 8xy - 3

Which statement is true about the polynomial 3j^4k − 2jk^3 + jk^3 − 2j^4k + jk^3 after it has been fully simplified?

It has 1 term and a degree of 5.

Which statement is true about the polynomial -3x^4y^3 + 8xy^5 - 3 + 18x^3y^4 - 3xy^5 after it has been fully simplified?

It has 4 terms and a degree of 7.

Which is true about the polynomial y^2 - 3y + 12?

It is a trinomial with a degree of 2.

Armando used algebra tiles to represent the product 3x(2x - 1). Which is true regarding Armando's use of algebra tiles?

Some of the products do not show the correct powers of x.

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

The difference has 4 terms and a degree of 7.

The polynomial 8x^2 - 8x + 2 - 5 + x is simplified to 8x^2 - gx - h. What are the value of g and h?

g = 7 and h = 3