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.

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

Four students are verifying thatx2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table.Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)?

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?

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

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

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)

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