Addition and Subtraction of Polynomials

Question 1

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

Revolt · Accepted Answer

C: –5n2 – 8n + 4

Question 2

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

Revolt · Accepted Answer

B: –9s2 + 4s – 2

Question 3

Which example illustrates the commutative property of addition for polynomials?

Revolt · Accepted Answer

D: (2x2 + 5x) + (4x2 – 4x) = (4x2 – 4x) + (2x2 + 5x)

Question 4

Which expression represents the length, in inches, of the framed picture?

Revolt · Accepted Answer

B: 2x + 10

Question 5

The polynomial –16t2 + vt + h0 models the height, in feet, of a ball t seconds after it is thrown. In this polynomial, v represents the initial vertical velocity of the ball and h0 represents the initial height of the ball.Min throws a baseball from a height of 6 feet with an initial vertical velocity of 30 feet per second. Which polynomial models the height of the ball, in feet?

Revolt · Accepted Answer

D: -16t² + 30t + 6

Question 6

Use what you know about addition and subtraction of polynomials to find the missing term represented by the question mark in each equation.(–4x2 + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8? = (–b3 + 3b2 + 8) – (? – 5b2 – 9) = 5b3 + 8b2 + 17? =

Revolt · Accepted Answer

D: 6x²

Question 7

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

Revolt · Accepted Answer

C: He combined the like terms 2y2 and –3y2 incorrectly.

Question 8

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

Revolt · Accepted Answer

⇒ 4: 5

Question 9

(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) = ⇒ 2 a2 + ⇒ 9 ab + ( ⇒ -7 b2)

Revolt · Accepted Answer

-7

Question 10

Which example illustrates the associative property of addition for polynomials?

Revolt · Accepted Answer

A: [(2x2 + 5x) + (4x2 – 4x)] + 5x3 =(2x2 + 5x) + [(4x2 – 4x) + 5x3]

Addition and Subtraction of Polynomials Answers

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