Understanding Polynomials and Their Properties

This video introduces polynomials, focusing on identifying terms, monomials, and polynomials. It explains the classification of polynomials based on the number of terms, such as monomials, binomials, and trinomials. The video also covers the degree of terms and polynomials, the concept of leading terms, and coefficients. It concludes with a practical example to consolidate the understanding of these concepts.

What is a term in the context of polynomials?

• A number or variable only

• A product or quotient of numbers and/or variables

• A sum of numbers

• A difference of variables

Which of the following is a monomial?

• 5x

• -8/x^2

• 7x^-3

• M/N

How many terms does a binomial have?

• One

• Four

• Two

• Three

What is the term for a polynomial with three terms?

• Binomial

• Trinomial

• Quadrinomial

• Monomial

When listing terms of a polynomial, what should you be careful about?

• Dividing terms

• Handling subtraction

• Multiplying terms

• Adding terms

What is the degree of a term with variables x^2 and y^3?

• 2

• 6

• 3

• 5

What is the leading term of a polynomial?

• The term with the highest degree

• The term with the lowest degree

• The last term listed

• The first term listed

What is the coefficient of the term 4x^2y^3?

• 5

• 2

• 3

• 4

What is the leading coefficient of a polynomial?

• The coefficient of the first term

• The coefficient of the last term

• The coefficient of the leading term

• The sum of all coefficients

If a polynomial is in descending order, which term is the leading term?

• The last term

• The first term

• The term with the highest coefficient

• The term with the lowest degree