Factoring Polynomials: Difference of Squares — Unit test Answers

What is the product?

Which expression is equivalent to 64 − 9x2?

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

What is the factored form of the polynomial?x2 − 15x + 36

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 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?

What is the greatest common factor of 8m, 36m3, and 12?

What is the factorization of 81a6 - 100?

Which is true about the polynomial y2 – 3y + 12?

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

What is the greatest common factor of 4xy2 and 20x2y4?

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

Which statement is true about the polynomial –10m4n3 + 8m2n6 + 3m4n3 – 2m2n6 – 6m2n6 after it has been fully simplified?