Adding and Subtracting Polynomials Answers

Adding which terms to 3x2y would result in a monomial? Check all that apply.3xy–12x2y2x2y27xy2–10x24x2y3x3

associative property✔ closure propertycommutative property

associative propertyclosure property✔ commutative property

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associative propertyclosure property✔ commutative property

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?

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. (–3x3 + 5x2 + 4x – 7) + (–6x3 + 2x – 3) 2. (–3x3) + 5x2 + 4x + (–7) + (–6x3) + 2x + (–3) 3. [(–3x3) + (–6x3)] + [4x + 2x] + [(–7) + (–3)] + [5x2] 4. –9x3 + 6x + (–10) + 5x2 5. –9x3 + 5x2 + 6x – 10

Place the correct coefficients in the difference. x2y3 + xy2 + y

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

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? Profit can be modeled by the polynomial expression . If 1,000 video game systems are sold, the company’s profit is $ .

The total amount of fencing they need can be written as x + 10. If x = 5; The family needs yards of fencing for their home. The family needs yards of fencing for their pool.

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