AnswersAlgebra 2Addition and Subtraction of Polynomials

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Which expression can be used to find the difference of the polynomials? open paren 4 m minus 5 close paren minus open paren 6 m minus 7 plus 2 n close paren

A
open paren 4 m minus 5 close paren plus open paren negative 6 m plus 7 minus 2 n close paren
B
open paren 4 m minus 5 close paren plus open paren negative 6 m plus 7 plus 2 n close paren
C
open paren 4 m minus 5 close paren plus open paren 6 m plus 7 plus 2 n close paren
D
open paren 4 m minus 5 close paren plus open paren negative 6 m minus 7 minus 2 n close paren
2
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What is the sum of the polynomials? open paren 8 x squared minus 9 y squared minus 4 x close paren plus open paren x squared minus 3 y squared minus 7 x close paren

A
9 x squared minus 12 y squared plus 3 x
B
9 x squared minus 6 y squared plus 3 x
C
9 x squared minus 12 y squared minus 11 x
D
7 x squared minus 6 y squared plus 3 x
3

Which expression can be used to find the difference of the polynomials? open paren 10 m minus 6 close paren minus open paren 7 m minus 4 close paren

A
open bracket open paren negative 10 m close paren plus open paren negative 7 m close paren close bracket plus open paren 6 plus 4 close paren
B
open bracket 10 m plus open paren negative 7 m close paren close bracket plus open bracket negative 6 plus 4 close bracket
C
open bracket 10 m plus open paren negative 7 m close paren close bracket plus open bracket 6 plus negative 4 close bracket
D
open paren 10 m plus 7 m close paren plus open bracket negative 6 plus negative 4 close bracket
4

Which expression shows the sum of the polynomials with like terms grouped together? 10 x squared y plus 2 x y squared minus 4 x squared minus 4 x squared y

A
open paren negative 4 x squared close paren plus 2 x y squared plus open bracket 10 x squared y plus open paren negative 4 x squared y close paren close bracket
B
10 x squared y plus 2 x y squared plus open bracket open paren negative 4 x squared close paren plus open paren negative 4 x squared y close paren close bracket
C
open bracket 10 x squared y plus 2 x y squared plus open paren negative 4 x squared y close paren close bracket plus open paren negative 4 x squared close paren
D
open bracket open paren negative 4 x squared close paren plus open paren negative 4 x squared y close paren plus 10 x squared y close bracket plus 2 x y squared
5

What is the sum of the polynomials? open paren m plus n plus 3 close paren plus open paren m plus n plus 4 close paren

A
2 m squared plus 2 n squared plus 7
B
m squared plus n squared plus 7
C
negative 1
D
2 m plus 2 n plus 7
6

What is the additive inverse of the polynomial? negative 6 x cubed plus 4 x squared minus 4 x

A
negative 6 x cubed minus 4 x squared minus 4 x
B
6 x cubed plus 4 x squared minus 4 x
C
6 x cubed minus 4 x squared plus 4 x
D
6 x cubed plus 4 x squared plus 4 x
7

What is the additive inverse of the polynomial? negative 7 y squared plus x squared y minus 3 x y minus 7 x squared

A
7 y squared minus x squared y plus 3 x y plus 7 x squared
B
7 y squared plus x squared y minus 3 x y minus 7 x squared
C
negative 7 y squared minus x squared y minus 3 x y minus 7 x squared
D
7 y squared plus x squared y plus 3 x y plus 7 x squared
8

Which expression can be used to find the sum of the polynomials? open paren 9 minus 3 x squared close paren plus open paren negative 8 x squared plus 4 x plus 5 close paren

A
open bracket open paren negative 3 x squared close paren plus open paren negative 8 x squared close paren close bracket plus 4 x plus open bracket 9 plus 5 close bracket
B
open bracket open paren negative 3 x squared close paren plus open paren negative 8 x squared close paren close bracket plus 4 x plus open bracket 9 plus negative 5 close bracket
C
open bracket 3 x squared plus 8 x squared close bracket plus 4 x plus open bracket 9 plus negative 5 close bracket
D
open bracket 3 x squared plus open paren negative 8 x squared close paren close bracket plus 4 x plus open bracket 9 plus 5 close bracket
10

What is the sum of the polynomials? the 2 by 2 matrix row 1, blank 11 x squared minus 5 row 2, plus x plus 4

A
11 x squared plus x minus 1
B
10 x squared minus 9
C
11 x squared minus x minus 9
D
12 x squared minus 1

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