AnswersOK-Algebra II AAddition and Subtraction of Polynomials

Addition and Subtraction of Polynomials Answers

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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
5

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

(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
20

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)
21

Which example illustrates the associative property of addition for polynomials?

A
[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =(2x2 + 5x) + [(4x2 – 4x) + 5x3]
B
[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =[(4x2 – 4x) + (2x2 + 5x)] + 5x3
C
(2x2 + 5x) + [(4x2 – 4x) + 5x3] =(2x2 + 5x) + [5x3 + (4x2 – 4x)]
D
[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =[(5x + 2x2) + (–4x + 4x2)] + 5x3
26

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Compare your response to the sample response above. Did your response …

A
… explain what closure means for addition and give an example?
B
… explain what closure means for subtraction and give an example?
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