Polynomial Concepts and Operations

This video tutorial covers the basics of polynomials, including their definition, types, and properties. It explains the concepts of monomials, binomials, and trinomials, and discusses the importance of coefficients and degrees. The tutorial provides examples to illustrate how to identify and work with polynomials, including writing them in standard form and performing operations like addition and subtraction. Finally, it demonstrates how to evaluate polynomials by substituting values and applying the order of operations.

What is a polynomial?

• A variable with a negative exponent

• A single number

• A product of numbers and variables

• A set of terms added or subtracted

Which of the following is NOT allowed in a polynomial?

• Variables in the denominator

• Variables inside square roots

• Positive exponents

• Terms added together

What is a monomial?

• A polynomial with one term

• A polynomial with two terms

• A polynomial with three terms

• A polynomial with four terms

How many terms does a binomial have?

• One

• Two

• Three

• Four

What is the term for a polynomial with three terms?

• Quadrinomial

• Trinomial

• Binomial

• Monomial

What is a coefficient?

• A number in front of a variable

• A variable in a term

• The highest degree of a polynomial

• The sum of exponents in a term

How do you determine the degree of a term?

• By subtracting the exponents

• By multiplying the coefficients

• By adding the exponents of the variables

• By counting the number of variables

What is the degree of the polynomial 7V^4W^2?

• 8

• 10

• 4

• 6

What is the coefficient in the term 7V^4W^2?

• 7

• 6

• 4

• 2

Is the expression 8x^4 - 6 a polynomial?

• Yes

• No

• Only if x is positive

• Only if x is negative