AnswersAlgebra IAdding and Subtracting Polynomials

Adding and Subtracting Polynomials — Quiz Answers

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Which is true about the degree of the sum and difference of the polynomials 3 x to the 5th power y minus 2 x cubed y to the 4th power minus 7 x y cubed and negative 8 x to the 5th power y plus 2 x cubed y to the 4th power plus x y cubed ?

A
The sum has a degree of 7 , but the difference has a degree of 6 .
B
Both the sum and difference have a degree of 7 .
C
The sum has a degree of 6 , but the difference has a degree of 7 .
D
Both the sum and difference have a degree of 6 .
4

The sum of two polynomials is 8 d to the 5th power minus 3 c cubed d squared plus 5 c squared d cubed minus 4 c d to the 4th power plus 9 If one addend is 2 d to the 5th power minus c cubed d squared plus 8 c d to the 4th power plus 1 , what is the other addend?

A
6 d to the 5th power minus 2 c cubed d squared minus 3 c squared d cubed minus 4 c d to the 4th power plus 8
B
6 d to the 5th power minus 4 c cubed d squared plus 5 c squared d cubed minus 12 c d to the 4th power plus 8
C
6 d to the 5th power minus 2 c cubed d squared plus 5 c squared d cubed minus 12 c d to the 4th power plus 8
D
6 d to the 5th power minus 4 c cubed d squared plus 3 c squared d cubed minus 4 c d to the 4th power plus 8
5

What is the additive inverse of the polynomial negative 9 x y squared plus 6 x squared y minus 5 x cubed ?

A
9 x y squared plus 6 x squared y plus 5 x cubed
B
9 x y squared minus 6 x squared y plus 5 x cubed
C
negative 9 x y squared minus 6 x squared y minus 5 x cubed
D
negative 9 x y squared minus 6 x squared y plus 5 x cubed
6

What is the sum of the polynomials? open paren negative x squared plus 9 close paren plus open paren negative 3 x squared minus 11 x plus 4 close paren

A
negative 4 x squared minus 11 x plus 13
B
2 x squared plus 11 x plus 5
C
negative 4 x squared minus 2 x plus 4
D
2 x squared plus 20 x plus 4
7

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2 x squared plus 1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4 x minus 7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x is equal to 3 point 5 ?

A
4 times open paren 2 x squared plus 4 x minus 6 close paren ; 88 point 0 inches
B
2 x squared plus 4 x minus 6 ; 22 point 0 inches
C
2 x squared plus 4 x minus 6 ; 32 point 5 inches
D
4 times open paren 2 x squared plus 4 x minus 6 close paren ; 130 point 0 inches
9

What is the difference of the polynomials? open paren negative 2 x cubed y squared plus 4 x squared y cubed minus 3 x y to the 4th power close paren minus open paren 6 x to the 4th power y minus 5 x squared y cubed minus y to the 5th power close paren

A
negative 6 x to the 4th power y minus 2 x cubed y squared minus x squared y cubed minus 3 x y to the 4th power minus y to the 5th power
B
negative 6 x to the 4th power y minus 7 x cubed y squared plus 4 x squared y cubed minus 3 x y to the 4th power minus y to the 5th power
C
negative 6 x to the 4th power y plus 3 x cubed y squared plus 4 x squared y cubed minus 3 x y to the 4th power plus y to the 5th power
D
negative 6 x to the 4th power y minus 2 x cubed y squared plus 9 x squared y cubed minus 3 x y to the 4th power plus y to the 5th power
10

What is true about the sum of the two polynomials? 6 s squared t minus 2 st squared 4 s squared t minus 3 st squared

A
The sum is a trinomial with a degree of 2 .
B
The sum is a trinomial with a degree of 3 .
C
The sum is a binomial with a degree of 3 .
D
The sum is a binomial with a degree of 2 .

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