Factoring Polynomials: Difference of Squares — 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.

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 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 +

Which is a factor of 144 − 49x2?

What is the quotient?x + 5 )4x2 + 14x − 9

What is the factorization of 81a6 - 100?

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

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)

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

What is the product?

The area of a rectangle is found by multiplying the base times the height. A rectangle with an area represented by 12x2 + 6x – 8 has a height of 4x.What is the base of the rectangle?

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?

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

The volume of a rectangular prism can be found by multiplying the base area, B, times the height.

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)