Classifying and Manipulating Polynomials

The video tutorial covers the basics of polynomials, including definitions, degrees, and classification. It explains how to write polynomials in standard form and identify the leading coefficient. The tutorial also demonstrates how to classify polynomials based on their degree and number of terms. Finally, it provides a guide on adding and subtracting polynomials by combining like terms.

What is a polynomial?

• A term with no variables

• A constant number

• A single term with variables

• A sum or difference of monomials

What is the degree of the term 3x^2?

• 3

• 0

• 2

• 1

How do you determine the degree of a polynomial?

• By finding the term with the highest exponent

• By counting the number of terms

• By adding all the coefficients

• By multiplying all the exponents

What is a polynomial with a degree of 3 called?

• Quintic

• Quartic

• Cubic

• Quadratic

What is a polynomial with two terms called?

• Trinomial

• Binomial

• Quadrinomial

• Monomial

What is the result of combining like terms in the expression 2x^2 + 3x - 7 + 4x^2 + 6x?

• 6x^2 + 9x - 7

• 6x^2 + 9x - 4

• 2x^2 + 3x - 7

• 4x^2 + 6x

What is the degree of the polynomial 5x^5 + 6x^3 + 2x^7?

• 5

• 6

• 3

• 7

What is the leading coefficient in the polynomial 2x^7 + 5x^5 + 6x^3?

• 7

• 6

• 5

• 2

What is a polynomial with four terms called?

• Monomial

• Binomial

• Polynomial

• Trinomial

What is the name of a polynomial with a degree of 2 and three terms?

• Quadratic Monomial

• Quadratic Trinomial

• Quadratic Polynomial

• Quadratic Binomial