Module 9: Polynomials

Multiple Choice

Which of the following is the correct way to combine like terms in the expression 4a - 8 + 9a + 3?

• 13a - 5

• 5a + 12

• 4a + 9a - 8 + 3

• 13a + 11

Open Ended

Why do you think understanding how to add and subtract polynomials is important in mathematics and real-life situations?

Multiple Choice

Combine like terms in the expression: 4a - 8 + 9a + 3

• 13a - 5

• 5a + 1

• 4a + 9a - 5

• 13a + 5

Multiple Choice

Which of the following best describes a binomial?

• A sum of two monomials

• A sum of three monomials

• A single variable

• A product of two variables

Open Ended

Explain the difference between the degree of a monomial and the degree of a polynomial. Provide an example for each.

Multiple Select

Which of the following are true about the standard form of a polynomial?

• Terms are written from greatest degree to least degree

• The coefficient of the first term is called the leading coefficient

• Terms can be written in any order

• It always has three terms

Multiple Choice

What is the degree of the polynomial 9x^3 - 8x + 5x - 27?

• 3

• 2

• 1

• 0

Multiple Choice

Which of the following expressions is NOT a polynomial?

• 8ab - 2c

• -11.25

• 2x^-2 + 3xy

• 4x + 12

Multiple Select

Which of the following are true about the expression 9x - 2? Select all that apply.

• It is a polynomial.

• Its degree is 1.

• It is a trinomial.

• It is a binomial.

Open Ended

Explain why 3z^-2 is not considered a polynomial.

Multiple Choice

What is the degree and classification of the polynomial 2x^3 + x - 12?

• Degree 2; binomial

• Degree 3; trinomial

• Degree 1; monomial

• Degree 3; binomial

Open Ended

Write 4x + 12 + 2x^3 - 3x^2 in standard form and identify the leading coefficient.

Multiple Choice

What is the leading coefficient in the polynomial 5b - 10b^2 + 35 - b^3?

• -1

• 5

• -10

• 35

Multiple Choice

Write 5b - 10b^2 + 35 - b^3 in standard form.

• -b^3 - 10b^2 + 5b + 35

• 5b - 10b^2 + 35 - b^3

• -10b^2 - b^3 + 5b + 35

• 35 + 5b - 10b^2 - b^3

Multiple Select

Which of the following steps are involved in the horizontal method for adding polynomials?

• Group like terms

• Combine like terms

• Align terms in columns

• Multiply coefficients

Open Ended

Explain the difference between the horizontal and vertical methods for adding polynomials.

Multiple Choice

What is the result when you add (8 - x^2) and (4x + 2x^2 - 9)?

• x^2 + 4x - 1

• 8x^2 + 4x - 1

• -x^2 + 4x + 8

• 2x^2 + 4x - 1

Multiple Choice

Which of the following is the correct sum for (-1/4 b - b^2 + 2) + 2(b^2 + 1/8 b - 1)?

• b^2

• 2b^2 + 1/8b + 1

• -b^2 + 1/4b + 1

• b^2 + 1/8b + 1

Multiple Choice

What is the additive inverse of the polynomial 8x^2 + 20?

• -8x^2 - 20

• 8x^2 - 20

• -8x^2 + 20

• -8x^2 + 20

Multiple Select

Select all statements that are true about the closure property as described in the slides.

• A set is closed under an operation if the result is always in the set.

• A set may be closed under one operation but not another.

• The set of integers is closed under addition and subtraction.

• A set is always closed under multiplication.

Multiple Choice

Which of the following is the correct result when you combine like terms in the expression 4a - 8 + 9a + 3?

• 13a - 5

• 5a + 11

• 4a + 9a - 5

• 13a + 11

Open Ended

What strategies did you find most helpful when adding and subtracting polynomials during this lesson?