Introduction to Polynomials

Question 1

Which algebraic expressions are polynomials? Check all that apply.2x3 – x3y – 3x2 + 6xy2 + 5y – 2 – –x + –x3 – x2 +

Revolt · Accepted Answer

x3y – 3x2 + 6x; y2 + 5y –; –x +; –x3 – x2 +

Question 2

Classify the polynomial and determine its degree.

Revolt · Accepted Answer

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

Question 3

Which polynomial represents the algebra tile configuration shown?

Revolt · Accepted Answer

−x2 + 3x − 4

Question 4

Which algebraic expression is a polynomial with a degree of 3?

Revolt · Accepted Answer

2y3 + 5y2 – 5y

Question 5

Which algebraic expressions are binomials? Check all that apply.xyx2y – 3x6y2 – yy2 + 4xy – x2 +

Revolt · Accepted Answer

x2y – 3x; 6y2 – y; 4xy –

Question 6

⇒ 2

Revolt · Accepted Answer

78534

Question 7

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

Revolt · Accepted Answer

4x3 + – 3x + 6

Question 8

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

Revolt · Accepted Answer

8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5

Question 9

Raj was asked to fully simplify this polynomial and put it into standard form.2x2y + 8x3 – xy2 – 2x3 + 3xy2 + 6y3Raj simplified the polynomial with a final term of 6y3. What is the first term of the polynomial Raj ended up with?

Revolt · Accepted Answer

6x3

Question 10

Which terms could be used as the first term of the expression below to create a polynomial with a degree of 5 written in standard form? Check all that apply. + 2x2y2 – 3xy3–4x3y2x38.4x4y25x4y–xy3

Revolt · Accepted Answer

–4x3y2; 5x4y

Introduction to Polynomials Answers

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