How do you find the degree of a polynomial

The video tutorial explains the concept of polynomials and monomials, emphasizing the importance of identifying monomials without variables in the denominator or negative exponents. It details how to determine the degree of a polynomial by identifying the monomial with the largest degree, which is the highest exponent. The tutorial provides examples to illustrate the process, including handling complex monomials where exponents need to be added. The instructor clarifies common mistakes and ensures understanding of the degree calculation process.

What is a key characteristic of a polynomial?

• It has fractional exponents.

• It contains variables in the denominator.

• It includes negative exponents.

• It is composed of monomials.

How do you determine the degree of a polynomial?

• By multiplying the exponents of all terms.

• By finding the sum of all exponents.

• By identifying the monomial with the highest degree.

• By counting the number of terms.

In a set of monomials, which term determines the degree of the polynomial?

• The first term in the sequence.

• The term with the most variables.

• The term with the smallest exponent.

• The term with the largest exponent.

What should you do when a monomial has multiple terms?

• Divide the exponents by the number of terms.

• Add the exponents together.

• Subtract the exponents.

• Ignore the additional terms.

If a monomial has exponents 3 and 2, what is its degree?

• 2

• 6

• 5

• 3