Understanding Polynomials

The video tutorial by Gis introduces polynomials, explaining their formation from monomials and their characteristics, such as coefficients and independent terms. It covers the concept of reduced forms and special names for polynomials based on the number of terms. The tutorial also details how to calculate the degree of a polynomial, considering both single and multiple variables. The video concludes with a preview of future lessons on polynomial operations.

What is a polynomial?

• An expression with no variables

• An expression formed by adding and subtracting monomials

• An expression with infinite terms

• An expression with only one term

What is the literal part of a monomial?

• The variable part

• The number part

• The constant part

• The exponent part

What is the term called that does not have a variable in a polynomial?

• Null term

• Independent term

• Coefficient

• Literal part

What is a null polynomial?

• A polynomial with no terms

• A polynomial with infinite terms

• A polynomial with a zero coefficient

• A polynomial with no variables

What does it mean for a polynomial to be in its reduced form?

• It has no similar monomials

• It has only one term

• It has no coefficients

• It has infinite terms

Which of the following is a binomial?

• An expression with one term

• An expression with three terms

• An expression with two terms

• An expression with four terms

What is a trinomial?

• An expression with one term

• An expression with four terms

• An expression with two terms

• An expression with three terms

What is the degree of a polynomial with the highest exponent of 4?

• Degree 1

• Degree 2

• Degree 4

• Degree 3

How do you calculate the degree of a monomial?

• By adding the exponents of the variables

• By subtracting the exponents

• By multiplying the coefficients

• By adding the coefficients

What is the degree of a polynomial with terms having exponents 3, 5, and 7?

• Degree 10

• Degree 3

• Degree 7

• Degree 5