Adding and Subtracting Polynomials

The video tutorial covers the basics of polynomials, including definitions of monomials, binomials, and trinomials. It explains how terms and coefficients work, how to identify like terms, and the process of simplifying polynomials. The tutorial includes examples and practice problems to reinforce the concepts.

What is a monomial?

• An expression with one term

• An expression with two terms

• An expression with three terms

• An expression with four terms

Which of the following is an example of a binomial?

• 5x

• 3x + 2

• 7xy

• 2y + 4w

What separates the terms in a polynomial?

• Multiplication sign

• Division sign

• Addition sign

• Subtraction sign

What is the term for an expression with three terms?

• Monomial

• Polynomial

• Binomial

• Trinomial

What is a coefficient?

• An exponent in a polynomial

• A variable in a polynomial

• A number multiplying a variable

• A constant term

Which of the following pairs are like terms?

• 3xy and 3x

• x and x^2

• 2w and 2y

• 5x and 2x

What property allows you to rearrange terms in addition?

• Distributive property

• Associative property

• Commutative property

• Identity property

When is a polynomial considered simplified?

• When all variables are the same

• When all terms are combined

• When no two terms are similar

• When all coefficients are positive

What is the simplified form of -3x^2 + 5x - 2x + x^2 - 4?

• 2x^2 - 3x - 4

• 2x^2 + 3x - 4

• -2x^2 + 3x + 4

• -2x^2 + 3x - 4

How do you handle subtraction when simplifying polynomials?

• Change subtraction to addition of the opposite

• Ignore the subtraction

• Combine all terms directly

• Only subtract the first term