Classifying Polynomials: Degrees and Terms

The video tutorial introduces polynomials, explaining their characteristics and how to write them in standard form. It covers the classification of polynomials based on their degree and number of terms, providing examples for better understanding. The tutorial aims to help students identify and classify polynomials effectively.

Which of the following is NOT a characteristic of a polynomial?

• It is an algebraic expression.

• It does not involve division by a variable.

• It includes negative exponents.

• It can have many terms.

What is the correct order for writing polynomials in standard form?

• Random order.

• Constant term first, then variables.

• Descending exponents, then alphabetical order.

• Alphabetical order, then descending exponents.

In the polynomial -4x^3 + 3x^2 + x + 1, which term comes first in standard form?

• -4x^3

• 1

• x

• 3x^2

How would you classify a polynomial with a degree of 2?

• Quadratic

• Quartic

• Linear

• Cubic

What is the term for a polynomial with only one term?

• Binomial

• Trinomial

• Monomial

• Polynomial

Which of the following is a binomial?

• 4x^2

• 2x + 1

• x^2 + 2x + 1

• x^3 + x^2 + x + 1

What is the degree of the polynomial 8x + 1?

• 2

• 0

• 3

• 1

A polynomial with three terms is called a:

• Monomial

• Binomial

• Trinomial

• Polynomial

If a polynomial has no variables, what is its degree?

• 0

• 1

• 2

• 3

Which of the following is a cubic polynomial?

• 5

• x^2 + 2x + 1

• x^3 + 3x + 2

• 4x