Lesson 7.1: Introduction to Polynomials Answers

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Which algebraic expression is a trinomial?

A
x3 + x2 –
Option A
B
2x3 – x2
C
4x3 + x2 –
Option C
D
x6 – x +
Option D
2
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Alina fully simplifies this polynomial and then writes it in standard form.xy2 – 2x2y + 3y3 – 6x2y + 4xy2

A
xy2
B
5xy2
C
–8x2y
D
–2x2y
3

For the polynomial 6xy2−5x2y?+9x2 to be a trinomial with a degree of 3 after it has been fully simplified, what is the missing exponent of the y in the second term?

A
0
B
1
C
2
D
3
4

Which algebraic expression is a polynomial?

A
3m2n – +
Option A
B
– + 4m5
Option B
C
– 3mn5 +
Option C
D
7mn + +
Option D
5

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

A
–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
B
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
C
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
D
3x4 + x3y – 8x2y2 + 9xy3 – 13y4
6

An algebra tile configuration where the 2 largest tiles are labeled plus x squared, there are 4 tiles labeled negative x, where each tile is half the size of the largest tiles, and 6 tiles labeled minus that are each one-quarter the size of the largest tile.

Question illustration
A
2x2 – 4x – 6
B
2x2 + 4x + 6
C
–2x2 – 4x – 6
D
–2x2 + 4x + 6
7

An algebra tile configuration. There are 3 large tiles, 5 tiles each half the size of a large tile, and 8 tiles each one-quarter the size of a large tile. Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Two smaller tiles are labeled plus x and 3 are labeled negative x. Six of the smallest tiles are labeled + and 2 are labeled minus.

Question illustration
A
x2 – x – 4
B
x2 – x + 4
C
3x2 – 5x + 8
D
3x2 – 5x – 8
8

For the polynomial –2m2n3 + 2m?n3 + 7n2 – 6m4 to be a binomial with a degree of 4 after it has been fully simplified, which must be the missing exponent on the m in the second term?

A
0
B
1
C
2
D
4
9

Which algebraic expression is a polynomial?

A
4x2 – 3x +
Option A
B
–6x3 + x2 –
Option B
C
8x2 +
Option C
D
–2x4 +
Option D
10

Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.________ – 5xy3 + 9x2y

A
0
B
5xy3
C
9x2y
D
8y4
E
4xy3

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Lesson 7.1: Introduction to Polynomials Answers…