Factoring Polynomials: Difference of Squares — Unit test Answers

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

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

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

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

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

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

Armando used algebra tiles to represent the product .

Which expression is equivalent to 64 − 9x2?

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

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?

What is the product?

What is the product?

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

Which is equivalent to , and what type of special product is it?

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.