Addition and Subtraction of Polynomials Answers

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

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

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

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

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

Which example illustrates the commutative property of addition for polynomials?

( x +

Which expression represents the length, in inches, of the framed picture?x + 102x + 10x² + 1010x²

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?14t² + 6-16t² + 36t-16t² + 6t + 30-16t² + 30t + 6

–16t2 + t

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? = -6x² -2x² 2x² 6x²

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

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?

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Which example illustrates the associative property of addition for polynomials?

) inches

Which expression represents the width of the framed picture?x + 8x² + 82x + 88x²

+

Which polynomial represents the difference in the heights of the baseballs t seconds after they are thrown?10t + 210t + 1050t + 250t + 10