Adding and subtracting polynomials assignment

The sum of two polynomials is 10a2b2 - 8a2b + 6ab2 - 4ab + 2. If one addend is -5a2b2 + 12a2b - 5, what is the other addend?

A. 15a2b2 - 20a2b + 6ab2 - 4ab + 7

Adding which terms to 3x2y would result in a monomial? Check all that apply.

B. -12x2y F. 4x2y

What is the sum of the given polynomials in standard form? (x2 - 3x) + (-2x2 + 5x - 3)

D. -x2 + 2x - 3

Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?

D. Adding their polynomials together results in a polynomial with degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

Which polynomials are listed with their correct additive inverse? Check all that apply.

a. x2 + 3x - 2; -x2 - 3x + 2 c. 6z5 + 6z5 - 6z4; (-6z5) + (-6z5) + 6z4 d. x - 1; 1 - x

Lorne subtracted 6x3 - 2x + 3 from -3x3 + 5x2 + 4x - 7. Use the drop-down menus to identify the steps Lorne used to find the difference.

1. [C] wrote as addition of the additive inverse 2. [D] wrote terms as addition of opposite 3. [B] grouped like terms 4. [A] combined like terms

The revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 + 2x - 80. The cost, in dollars, of producing the video game systems can be modeled by 5x2 - x + 100, where x is the number of video game systems sold. If profit is the difference between the revenue and the cost, what expression represents the profit?

1. [d] 3x-180 2. [c] 2,820

A family needs to build fencing around their rectangular home and square swimming pool, depicted below.

1. 38 2. 160 3. 40

Which property does each equation demonstrate?

1. commutative 2. closure 3. commutative

Find: (4x2y3 + 2xy2 - 2y) - (-7x2y3 + 6xy2 - 2y)

11, -4, 0