AnswersCommon Core Algebra I B-ICIntroduction to Polynomials

Introduction to Polynomials Answers

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What did you include in your response? Check all that apply.

A
Both students are correct.
B
The standard form of a polynomial is in descending order of degrees for one variable, but it does not matter which variable you use.
C
Marcus wrote the standard form in terms of x.
D
Ariel wrote the standard form in terms of y.
78526

Classify the polynomial and determine its degree.

Answers:
The polynomial –2x2 – x + 2 is a with a degree of .:trinomial
The polynomial –2x2 – x + 2 is a with a degree of .:2
78527

1✔ 234

A
1
B
✔ 2
C
3
D
4
78534

⇒ 2

Answer:

78534

78535

Which polynomial represents the algebra tile configuration shown?

A
x2 + 3x + 4
B
x2 + 3x − 4x
C
−x2 − 7
D
−x2 + 3x − 4
78538

Which represents the polynomial below written in standard form? – 3x + 4x3 + 6

Question illustration
A
6 + – 3x + 4x3
Option A
B
4x3 + – 3x + 6
Option B
C
–3x + 4x3 + 6 +
Option C
D
+ 4x3 – 3x + 6
Option D
78539

Which polynomial correctly combines the like terms and puts the given polynomial in standard form?–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5

A
–7xy5 + 5x2y4 – 5x3y3 + 8x4y2 + 8x6
B
5xy5 + 8x4y2 + x2y4 – 5x3y3 + 8x6
C
8x6 + 5xy5 + 8x4y2 + x2y4 – 5x3y3
D
8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5
78542

Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states that it should be y3 – 4x2y + 3x3 +2. Explain which student is correct and why.

Answer:

Both Marcus and Ariel are correct. Marcus wrote the polynomial in descending powers of x, while Ariel wrote it in descending powers of y.

78543

Classify the polynomial and determine its degree.

Answers:
The polynomial –2x2 – x + 2 is a with a degree of .:trinomial
The polynomial –2x2 – x + 2 is a with a degree of .:2

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