Identifying Monomials, Binomials, and Trinomials

The video tutorial explains the differences between monomials, binomials, trinomials, and polynomials, focusing on the number of terms each contains. It provides examples of each type and guides viewers on how to classify expressions. The tutorial also covers how to identify coefficients and degrees of polynomial terms, using examples with both single and multiple variables. Key concepts such as leading term, leading coefficient, and the degree of a polynomial are discussed in detail.

What does a monomial consist of?

• Three terms

• More than three terms

• Two terms

• One term

Which expression is an example of a binomial?

• 5x - 7 + x^3

• 9x^3

• x + 5

• x^2 + 5x - 8

How many terms does a trinomial have?

• Three

• Two

• Many

• One

What is the coefficient of the term 6x^4?

• 6

• x

• 4

• None of the above

What is the degree of the term 5x^2?

• 5

• 2

• x

• None of the above

Which term is considered the leading term in 6x^4 - 5x^2 + 7?

• 7

• -5x^2

• 6x^4

• None of the above

What is the degree of a polynomial 3x^2 + 8 - 9x + 7x^5?

• 9

• 2

• 5

• 8

In a polynomial with multiple variables, how is the degree of a term determined?

• By the highest exponent of a single variable

• By the coefficient of the term

• By the number of variables

• By adding the exponents of all variables in the term

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

• 3

• 6

• 5

• None of the above

What is the degree of the polynomial 3x^2y^3 + 6x^2y + 5xy^2 - 8?

• 5

• 2

• 3

• 8