Exploring Adding and Subtracting Polynomials

This video tutorial covers the topic of adding and subtracting polynomials. It begins with an introduction to the learning targets, which include finding the degrees of monomials and classifying polynomials. The tutorial provides detailed explanations and examples on how to determine the degree of a monomial by summing the exponents of its variables. It also includes practice problems for students to apply their understanding. The video then explains how to write polynomials in standard form, identify the degree, and determine the leading coefficient. Finally, it discusses how to classify polynomials based on the number of terms and their degrees.

What is the degree of the monomial 5x^2?

• 3

• 2

• 1

• 4

If a monomial is -1/2xy^3, what is its degree?

• 4

• 3

• 2

• 5

What is the degree of the monomial -3?

• 1

• 3

• 2

• 0

How do you write 15x - x^3 + 3 in standard form?

• -x^3 + 15x + 3

• x^3 - 15x + 3

• 15x - x^3 + 3

• 3 + 15x - x^3

What is the leading coefficient of the polynomial -x^3 + 15x + 3?

• 0

• 3

• 15

• -1

What is the degree of the polynomial 9x^2 - 2x - 8?

• 2

• 3

• 1

• 0

How many terms are in the polynomial 4 + 5x^2 - x?

• 1

• 4

• 2

• 3

What type of polynomial is 4 + 5x^2 - x?

• Monomial

• Binomial

• Trinomial

• Quadrinomial

What is the standard form of the polynomial 2.8x + x^3?

• x^2 + 2.8x

• x^3 + 2.8x

• 2.8x^2 + x^3

• 2.8x + x^3

What is the degree of the polynomial x^3 + 2.8x?

• 4

• 1

• 2

• 3