HW 1: Classifying, Adding, and Subtracting Polynomial

Algebra 2B

Name___________________________________ ID: 1

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HW 1: Classifying, Adding, and Subtracting Polynomial Functions Name each polynomial by degree and number of terms. 1) 6n 5 + 2n 3

2) 10n

3) - 10m 2

4) - 2 - 8 x + 6 x 4 + 5 x 3 + x 6

5) 9 x - 5

Simplify each expression. 6) ( v 3 + 5 ) - ( 4v 3 + 3 )

7) ( 3 x 2 + 2 ) - ( 5 x 2 - 4 )

8) ( 5v + 4v 4 ) - ( 3v 4 - 5v )

9) ( 3r 4 + 4 ) + ( 4r 4 + 2 )

10) ( 2n 3 + 2n 2 ) - ( 2n 2 + n 4 )

11) ( 7a 2 + 2a 4 - a 3 ) - ( - 5a 3 + 2a - 11a 2 )

12) ( - 4 p 5 + 9 p + 14 p 3 ) + ( 8 p - 14 p 5 - 2 p 4 )

13) ( - 4 + 12 x + 8 x 4 ) - ( - 6 x - 7 x 4 - 14 )

14) ( 11 - 6n 2 - 10n 3 ) - ( - 8n 2 - 6 + 14n 3 )

15) ( 5 x 3 + 4 x 4 - 3 x ) - ( - 4 x - 3 x 4 - 8 x 3 )

16) ( 11a 4 b + 13a 2 b 3 ) + ( 13a 2 b 3 - 2a 4 b - 4a 2 b 2 ) + ( 11a 2 b 2 - 4a 4 b )

17) ( m 3 + 13n 2 ) + ( - 8n 2 + 4 - 6m 3 ) + ( - 11m - 3m 3 )

18) ( - 2 x 3 y 3 + 14 xy 3 ) + ( x 3 y 3 + 3 xy 3 - 11 ) - ( - x 3 y 3 - 11 xy 3 )

19) ( 13 x 2 y 4 - 8 x 2 y 2 ) + ( 3 x 2 y 4 - 14 x 2 y 2 + 7 xy 4 ) + ( 5 xy 4 + 6 x 2 y 4 )

20) ( 10b 4 - 10ab ) + ( - 6ab + 13b 4 - 2a 4 b 3 ) - ( b 4 - a 4 b 3 ) Worksheet by Kuta Software LLC ©e V2a0O1P5F lKxuCtyas [SJoHfdt^wPaNr_em fLNLkCD.n o FAultlI ]rRibgbhgtJsq Sr_eKsFeerwvyeldW._ e oM[aWdyeq PwMibt]hQ TIlnIfeiYnqiEtfed LAOlQgGe\bHroak c2e.

Answers to HW 1: Classifying, Adding, and Subtracting Polynomial Functions (ID: 1) 1) quintic binomial 2) linear monomial 4) sixth degree polynomial with five terms 7) - 2 x 2 + 6 8) v 4 + 10v 4 3 2 11) 2a + 4a + 18a - 2a 12) - 18 p 5 - 2 p 4 14) - 24n 3 + 2n 2 + 17 15) 7 x 4 + 13 x 3 + x 17) - 8m 3 + 5n 2 - 11m + 4 18) 28 xy 3 - 11 20) - a 4 b 3 + 22b 4 - 16ab

3) quadratic monomial 5) linear binomial 6) - 3v 3 + 2 9) 7r 4 + 6 10) - n 4 + 2n 3 3 4 + 14 p + 17 p 13) 15 x + 18 x + 10 16) 5a 4 b + 26a 2 b 3 + 7a 2 b 2 19) 22 x 2 y 4 + 12 xy 4 - 22 x 2 y 2

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