Lesson 2: Addition and Subtraction of Polynomials Answers

Find each sum.(3n2 – 5n + 6) + (–8n2 – 3n – 2) = –11n2 – 8n – 4–11n2 – 2n + 4–5n2 – 8n + 4–5n2 – 2n – 4

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

Find each difference.(–6s2 + 12s – 8) – (3s2 + 8s – 6) =–9s2 + 4s – 14–9s2 + 4s – 2–9s2 + 20s – 14–9s2 + 20s – 2

Which example illustrates the commutative property of addition for polynomials?(2x2 + 5x) = –(–2x2 – 5x)(2x2 + 5x) + 0 = (2x2 + 5x)(2x2 + 5x) + (4x2 – 4x) = 2x2 + 5x + 4x2 – 4x(2x2 + 5x) + (4x2 – 4x) = (4x2 – 4x) + (2x2 + 5x)

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

What is the perimeter of the framed picture in terms of x?

What is the perimeter of the framed picture in terms of x?

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?

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Kendall says the sum of (6x2 + 4xy + 2y2) and (4x2 – 2xy – 3y2) is (10x2 + 2xy – 5y2). What error did Kendall make?He combined the like terms 6x2 and 4x2 incorrectly.He combined the like terms 4xy and –2xy incorrectly.He combined the like terms 2y2 and –3y2 incorrectly.He subtracted the polynomials instead of adding.

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

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

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. What polynomial models the height of this ball, in feet? –16t2 + t +

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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? =

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

(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) = –2.8k3 – 3k2 – 3.7k–2.8k3 + 3k2 – 1.3k–2k3 – 3k2 – 1.3k–2k3 + 3k2 – 3.7k

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Which example illustrates the associative property of addition for polynomials?[(2x2 + 5x) + (4x2 – 4x)] + 5x3 =(2x2 + 5x) + [(4x2 – 4x) + 5x3] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 =[(4x2 – 4x) + (2x2 + 5x)] + 5x3 (2x2 + 5x) + [(4x2 – 4x) + 5x3] =(2x2 + 5x) + [5x3 + (4x2 – 4x)] [(2x2 + 5x) + (4x2 – 4x)] + 5x3 =[(5x + 2x2) + (–4x + 4x2)] + 5x3

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What is the perimeter of the framed picture in terms of x?

At the same time, Min’s little brother throws a baseball from a height of 4 feet with an initial vertical velocity of 20 feet per second. What polynomial models the height of this ball, in feet? –16t2 + t +

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Anna subtracted (7n2 – 5n + 6) from (5n2 + 4n – 9) as shown below.What error did Anna make?She did not align like terms correctly.She forgot to use the additive inverse of (5n2 + 4n – 9).She made a mistake when finding the additive inverse of (7n2 – 5n + 6).

(0.4k3 – 2.5k) – (2.4k3 + 3k2 – 1.2k) =

(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) = a2 + ab + ( b2)

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Which expression represents the width of the framed picture?x + 8x² + 8✔ 2x + 88x²

(–b3 + 3b2 + 8) – (? – 5b2 – 9) = 5b3 + 8b2 + 17? =

Anna subtracted (7n2 – 5n + 6) from (5n2 + 4n – 9) as shown below.What error did Anna make?

What is the perimeter of the framed picture in terms of x? ( x + ) inches

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Which polynomial represents the difference in the heights of the baseballs t seconds after they are thrown?

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