Factoring Polynomials: Double Grouping — Unit test Answers

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 is a factor of 6x2 + x − 7?

What is the factored form of the polynomial?z2 − 10z + 25

Which diagram represents the factors of m2 – 10m + 16 ?

Which terms could be used as the last term of the expression below to create a polynomial written in standard form? Select three options.–5x2y4 + 9x3y3 + x5y5–4x4y56x4y–xy5–

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

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.Step 1: (6x3 – 22x2) – (9x + 33)Step 2: 2x2(3x – 11) – 3(3x + 11)

What is the product?

Armando used algebra tiles to represent the product .

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?

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

The model represents a perfect square monomial.What equation is represented by the model?

Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

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

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?