AnswersAlgebra IIAddition and Subtraction of Polynomials

Addition and Subtraction of Polynomials — Quiz Answers

20 verified answers3 views
1
Free Preview

What is the difference of the polynomials? open paren m squared n squared minus 7 close paren minus open paren m n plus 4 close paren

A
m squared n squared minus m n minus 3
B
m n plus 3
C
m n minus 11
D
m squared n squared minus m n minus 11
2
Free Preview

What is the sum of the polynomials? open paren 6 x plus 7 plus x squared close paren plus open paren 2 x squared minus 3 close paren

A
3 x squared plus 6 x plus 4
B
9 x plus 4
C
9 x squared plus 4
D
negative x squared plus 6 x plus 4
3

The length of a rectangular field is represented by the expression 14 x minus 3 x squared plus 2 y The width of the field is represented by the expression 5 x minus 7 x squared plus 7 y How much greater is the length of the field than the width?

A
19 x plus 4 x squared plus 9 y
B
19 x minus 10 x squared plus 9 y
C
9 x plus 4 x squared minus 5 y
D
9 x minus 10 x squared minus 5 y
4

What is the missing term? (10⁢x−4⁢x^2)−(7⁢x+?)=3⁢x−6⁢x^2

A
negative 10 x squared
B
2 x squared
C
negative 2 x squared
D
negative x squared
5

What is the difference of the polynomials? open paren x to the 4th power plus x cubed plus x squared plus x close paren minus open paren x to the 4th power minus x cubed plus x squared minus x close paren

A
2 x to the 6th power plus 2 x squared
B
2 x cubed plus 2 x
C
x to the 6th power plus x squared
D
2 x squared
6

What is the missing polynomial? ? minus open paren 20 minus 4 x minus 5 x squared close paren is equal to 20 minus 7 x squared

A
4 x minus 12 x squared
B
4 x minus 2 x squared
C
40 minus 4 x minus 12 x squared
D
40 minus 4 x minus 2 x squared
7

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 3 x squared plus 8 x squared close bracket plus 4 x plus open bracket 9 plus negative 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 open paren negative 8 x squared close paren close bracket plus 4 x plus open bracket 9 plus 5 close bracket
D
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
8

Lucia finds that open paren 3 x squared plus 3 x plus 5 close paren plus open paren 7 x squared minus 9 x plus 8 close paren is equal to 10 x squared minus 12 x plus 13 What error did Lucia make?

A
She combined the terms 3 x and negative 9 x incorrectly.
B
She did not combine all like terms.
C
She found the difference instead of the sum.
D
She combined the terms 3 x squared and 7 x squared incorrectly.
9

Marcus finds that open paren 3 x squared minus 2 y squared plus 5 x close paren plus open paren 4 x squared plus 12 y squared minus 7 x close paren is equal to 7 x squared minus 10 y squared minus 2 x What error did Marcus make?

A
He combined the terms negative 2 y squared and 12 y squared incorrectly.
B
He subtracted the polynomials instead of adding.
C
He combined the terms 3 x squared and 4 x squared incorrectly.
D
He combined the terms 5 x and negative 7 x incorrectly.
10

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 plus 2 n close paren
B
open paren 4 m minus 5 close paren plus open paren negative 6 m plus 7 minus 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
11

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

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
10 x squared minus 9
B
11 x squared minus x minus 9
C
11 x squared plus x minus 1
D
12 x squared minus 1
13

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
14

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

A
6 x cubed minus 4 x squared plus 4 x
B
negative 6 x cubed minus 4 x squared minus 4 x
C
6 x cubed plus 4 x squared minus 4 x
D
6 x cubed plus 4 x squared plus 4 x
15

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
negative 7 y squared minus x squared y minus 3 x y minus 7 x squared
B
7 y squared plus x squared y plus 3 x y plus 7 x squared
C
7 y squared plus x squared y minus 3 x y minus 7 x squared
D
7 y squared minus x squared y plus 3 x y plus 7 x squared
16

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
17

What is the sum of the polynomials? the 2 by 2 matrix row 1, blank 17 m minus 12 n minus 1 row 2, plus 4 minus 13 m minus 12 n

A
4 m minus 24 n plus 3
B
4 m plus 3
C
30 m minus 5
D
30 m minus 24 n minus 5
18

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 6 plus negative 4 close bracket
C
open paren 10 m plus 7 m close paren plus open bracket negative 6 plus negative 4 close bracket
D
open bracket 10 m plus open paren negative 7 m close paren close bracket plus open bracket negative 6 plus 4 close bracket
19

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
2 m plus 2 n plus 7
D
negative 1
20

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 negative 6 m minus 7 minus 2 n close paren
D
open paren 4 m minus 5 close paren plus open paren 6 m plus 7 plus 2 n close paren

Did you find these answers helpful?

More from this Course

Quiz
20 verified answers

Quiz

Quiz
20 verified answers

Quiz

Quiz
20 verified answers

Quiz