AnswersFL-1200330-Algebra 2 CRAddition and Subtraction of Polynomials

Lesson 2: Addition and Subtraction of Polynomials Answers

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1
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Find each sum.(3n2 – 5n + 6) + (–8n2 – 3n – 2) =

A
–11n2 – 8n – 4
B
–11n2 – 2n + 4
C
–5n2 – 8n + 4
D
–5n2 – 2n – 4
2
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(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =

A
–2.8k3 – 3k2 – 3.7k
B
–2.8k3 + 3k2 – 1.3k
C
–2k3 – 3k2 – 1.3k
D
–2k3 + 3k2 – 3.7k
5

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) = c2 + cd + d

Answers:
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =:4
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =:11
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =:5
6

Find each difference.(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

A
–9s2 + 4s – 14
B
–9s2 + 4s – 2
C
–9s2 + 20s – 14
D
–9s2 + 20s – 2
7

Which example illustrates the commutative property of addition for polynomials?

A
(2x2 + 5x) = –(–2x2 – 5x)
B
(2x2 + 5x) + 0 = (2x2 + 5x)
C
(2x2 + 5x) + (4x2 – 4x) = 2x2 + 5x + 4x2 – 4x
D
(2x2 + 5x) + (4x2 – 4x) = (4x2 – 4x) + (2x2 + 5x)
10

( x +

Question illustration
Answer:

8

13

Kendall says the sum of (6x2 + 4xy + 2y2) and (4x2 – 2xy – 3y2) is (10x2 + 2xy – 5y2). What error did Kendall make?

A
He combined the like terms 6x2 and 4x2 incorrectly.
B
He combined the like terms 4xy and –2xy incorrectly.
C
He combined the like terms 2y2 and –3y2 incorrectly.
D
He subtracted the polynomials instead of adding.
14

Find each difference.(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

A
–9s2 + 4s – 14
B
–9s2 + 4s – 2
C
–9s2 + 20s – 14
D
–9s2 + 20s – 2
15

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Answer not available
18

Question text not available

Answer not available
20

Kendall says the sum of (6x2 + 4xy + 2y2) and (4x2 – 2xy – 3y2) is (10x2 + 2xy – 5y2). What error did Kendall make?

A
He combined the like terms 6x2 and 4x2 incorrectly.
B
He combined the like terms 4xy and –2xy incorrectly.
C
He combined the like terms 2y2 and –3y2 incorrectly.
D
He subtracted the polynomials instead of adding.

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