Adding and Subtracting Polynomials Answers

Which property does each equation demonstrate?

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

Which polynomials are listed with their correct additive inverse? Check all that apply.x2 + 3x – 2; –x2 – 3x + 2 –y7 – 10; –y7 + 10 6z5 + 6z5 – 6z4; (–6z5) + (–6z5) + 6z4x – 1; 1 – x(–5x2) + (–2x) + (–10); 5x2 – 2x + 10

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?

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

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

associative property✔ closure propertycommutative property

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associative propertyclosure property✔ commutative property

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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?

8201,020✔ 2,8203,020

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?

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

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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.

combined like termsgrouped like termswrote as addition of the additive inverse✔ wrote terms as addition of opposite

combined like terms✔ grouped like termswrote as addition of the additive inversewrote terms as addition of opposite

✔ combined like termsgrouped like termswrote as addition of the additive inversewrote terms as addition of opposite