Addition and Subtraction of Polynomials Answers

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1
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(3a2 – 5ab + b2) + (–3a2 + 2b2 + 8ab)Which of the following shows the sum of the polynomials rewritten with like terms grouped together?

A
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
B
[3a2 + (–3a2)] + (–5ab + 2b2) + (b2 + 8ab)
C
[3a2 + 3a2] + (5ab + 8ab) + (b2 + 2b2)
D
[3a2 + 3a2] + (5ab + 2b2) + (b2 + 8ab)
2
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Use your result from the previous task to find the sum.

A
6ab2
B
3ab + 3b2
C
-6a2 + 3ab + 3b2
D
-6a2 - 13ab + 3b2
3

What is the sum of the polynomials?

A
1.3t3 + t2 – 42t + 8
B
1.3t3 + t2 – 6t + 8
C
1.9t3 + 8.4t2 – 42t
D
1.9t2 – 42t + 8
4

⇒ A = 0t3

Question illustration
Answers:
Blank 1:A
Blank 2:D
Blank 3:C
6

⇒ D = 8

Answer:

D

9

Which equivalent expression would you set up to verify the associative property of addition for(3x + 4) + ((5x2 – 1) + (2x + 6))?

A
(3x + 4) + (5x2 – 1)
B
(5x2 – 1) + ((3x + 4) + (2x + 6))
C
((3x + 4) + (5x2 – 1)) + (2x + 6)
D
(3x + 4) + (5x2 – 1) + (2x + 6)
11

After you rewrite subtraction as addition of the additive inverse, how can the like terms be grouped?

A
[3a2 + (–3a2)] + (–5ab + 8ab) + [b2 + (–2b2)]
B
[3a2 + (–3a2)] + (–5ab + 8ab) + (b2 + 2b2)
C
(3a2 + 3a2) + [–5ab + (–8ab)] + [b2 + (–2b2)]
D
(3a2 + 3a2) + [–5ab + (–2b2)] + [b2 + (–8ab)]
12

Choose the correct values for A, B, C, and D that align like terms to find the sum vertically. 1.3t3 + 0.4t2 + (–24t)

Question illustration
A
A = (–0.6t2) B = (–8) C = 18t D = 0t3
B
A = 0t3 B = (–0.6t2) C = 18t D = (–8)
C
A = 0t3 B = (–0.6t2) C = (–8) D = 18t
13

What is the difference of the polynomials?0.7t³ - 0.2t² - 6t - 80.7t³ - t² - 6t - 81.3t³ - t² + 6t - 8✔ 1.3t³ - 0.2t² - 6t - 8

A
0.7t³ - 0.2t² - 6t - 8
B
0.7t³ - t² - 6t - 8
C
1.3t³ - t² + 6t - 8
D
✔ 1.3t³ - 0.2t² - 6t - 8
14

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
15

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

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

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