Classifying Polynomials: Degree and Terms

The video tutorial explains the classification of polynomials, including monomials, binomials, and trinomials. It covers the identification of polynomial degrees and leading coefficients, and distinguishes between polynomial and non-polynomial functions. Advanced concepts such as multi-variable polynomials are also discussed, with examples provided for each type. The tutorial aims to help students understand and classify polynomials effectively.

What is the degree of the polynomial 2x^4 - 8?

• Second degree

• Third degree

• Fourth degree

• Fifth degree

What do you call a polynomial with two terms?

• Monomial

• Binomial

• Trinomial

• Quadrinomial

What is the leading coefficient of the polynomial 4x^5?

• 5

• 0

• 4

• 1

Which term describes a polynomial with only one term?

• Monomial

• Quadrinomial

• Binomial

• Trinomial

Why is the expression 2^x + 4 not considered a polynomial?

• It has a variable in the exponent

• It has a fractional exponent

• It has more than one variable

• It has a negative exponent

Which of the following is not a polynomial?

• x^2 + 3x + 1

• x^-2 + 3x

• 4x^3 - 2x + 5

• 2x^4 - 8

What is the degree of the polynomial 4x^2 - 2x + 1?

• Fourth degree

• Third degree

• Second degree

• First degree

What do you call a polynomial with three terms?

• Binomial

• Quadrinomial

• Monomial

• Trinomial

How do you determine the degree of a polynomial with multiple variables?

• By the highest single exponent

• By the sum of the exponents in each term

• By the leading coefficient

• By the number of terms

What is the degree of the polynomial 5x^2y^3 - 3xy^2?

• Third degree

• Second degree

• Fourth degree

• Fifth degree