Adding and Subtracting Polynomials

Question 1

associative propertyclosure propertycommutative property

Revolt · Accepted Answer

commutative property; x2 + 2x = 2x + x2: commutative property; (3z4 + 2z3) – (2z4 + z3) = z4 + z3: closure property; (2x2 + 7x) + (2y2 + 6y) = (2y2 + 6y) + (2x2 + 7x): commutative property

Question 2

[___]x2y3 + [___]xy2 + [___]y

Revolt · Accepted Answer

⇒ 11: 78593; 78594; 78595; 11

Question 3

x + 20x – 1803x + 203x – 180

Revolt · Accepted Answer

3x – 180; Profit can be modeled by the polynomial expression .: 3x – 180; If 1,000 video game systems are sold, the company’s profit is $ .: 2,820

Question 4

The total amount of fencing they need can be written as [___]x + 10.

Revolt · Accepted Answer

⇒ 38: 78618; 160; 40; 38

Question 5

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

Revolt · Accepted Answer

wrote as addition of the additive inverse; wrote terms as addition of opposite; grouped like terms; combined like terms

Question 6

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

Revolt · Accepted Answer

–x2 + 2x – 3

Question 7

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?

Revolt · Accepted Answer

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.

Question 8

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

Revolt · Accepted Answer

15a2b2 – 20a2b + 6ab2 – 4ab + 7

Adding and Subtracting Polynomials Answers

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