Understanding Polynomials

The video tutorial explains how to identify and name polynomials based on the number of terms, such as binomial, monomial, and trinomial. It covers how to determine the leading coefficient, which is the coefficient of the term with the highest degree, and how to identify the constant term, which has no variable factors. The tutorial also explains how to find the degree of a polynomial, which is the highest degree of any term in the polynomial.

What is the best name for a polynomial with two terms?

• Trinomial

• Binomial

• Quadrinomial

• Monomial

How would you classify a polynomial with a single term?

• Binomial

• Quadrinomial

• Trinomial

• Monomial

What is the leading coefficient of the polynomial 4x^8 + 3x^2 + 7?

• 3

• 8

• 4

• 7

In the polynomial 3x^5, what is the leading coefficient?

• 0

• 3

• 5

• 1

Which term in a polynomial has no variable factors?

• Constant term

• Middle term

• Final term

• Leading term

What is the constant term in the polynomial x + 9?

• 0

• 1

• 9

• x

What is the degree of the polynomial 4x + 9?

• 0

• 2

• 4

• 1

For the polynomial 3x^5, what is its degree?

• 3

• 5

• 8

• 0

What is the degree of the polynomial 4x^8 + 3x^2 + 7?

• 2

• 8

• 3

• 7

Which of the following is true about the degree of a polynomial?

• It is the sum of the exponents of all terms.

• It is the highest exponent of any term.

• It is always equal to the number of terms.

• It is the lowest exponent of any term.