Understanding Polynomials and Their Properties

The video tutorial covers the basics of polynomials, including monomials, binomials, and trinomials. It explains how to identify and combine like terms, handle expressions with parentheses, and distribute coefficients. The tutorial also discusses arranging terms in standard form and determining the degree of polynomial terms.

What is a polynomial with three terms called?

• Quadrinomial

• Binomial

• Monomial

• Trinomial

Which of the following is a monomial?

• 5a - 3b

• x^2 + y

• 4y

• 3x + 2

Which of the following is NOT a polynomial?

• 3x^2 + 2x + 1

• x^3 - 4x

• 7x^2

• 5/x + 2

Which of the following is a binomial?

• x

• x + y

• x^2

• x^3 + y^3 + z^3

Which of the following is a trinomial?

• x^3

• x + y

• x^2 + y^2

• x^2 + 2x + 1

What is a term in a polynomial?

• A variable only

• An exponent only

• A group of numbers and variables

• A single number

Which of the following is NOT a term?

• 3

• 5 + x

• 5x

• x^2

What makes two terms 'like terms'?

• Same coefficient

• Same variable and exponent

• Same exponent only

• Same variable only

Which of the following are like terms?

• 3x and 3y

• 4a^2 and 4a

• 5b and 2b

• x^2 and x

How do you combine like terms?

• Subtract the exponents

• Divide the variables

• Multiply the coefficients

• Add the coefficients