Adding and Subtracting Polynomials Answers

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

A
3xy
B
–12x2y
C
2x2y2
D
7xy2
E
–10x2
F
4x2y
G
3x3
80540

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

A
combined like terms
B
grouped like terms
C
wrote as addition of the additive inverse
D
wrote terms as addition of opposite
80541

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

A
combined like terms
B
grouped like terms
C
wrote as addition of the additive inverse
D
wrote terms as addition of opposite
80542

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

A
combined like terms
B
grouped like terms
C
wrote as addition of the additive inverse
D
wrote terms as addition of opposite
80548

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

A
combined like terms
B
grouped like terms
C
wrote as addition of the additive inverse
D
wrote terms as addition of opposite
80549

associative propertyclosure propertycommutative property

A
associative property
B
closure property
C
commutative property
80550

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

A
–3x2 + 8x – 3
B
–x2 – 2x – 3
C
3x2 – 8x + 3
D
–x2 + 2x – 3
80551

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

A
x2 + 3x – 2; –x2 – 3x + 2
B
–y7 – 10; –y7 + 10
C
6z5 + 6z5 – 6z4; (–6z5) + (–6z5) + 6z4
D
x – 1; 1 – x
E
(–5x2) + (–2x) + (–10); 5x2 – 2x + 10
80552

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?

A
Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 7.
B
Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 5.
C
Adding their polynomials together results in a polynomial with degree 14, but subtracting one polynomial from the other results in a polynomial with degree 5.
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.
80554

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
B
5a2b2 – 20a2b2 + 7
C
5a2b2 + 4a2b2 + 6ab – 4ab – 3
D
–15a2b2 + 20a2b2 – 6ab + 4ab – 7

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