Exploring Adding and Subtracting Rational Expressions

The video tutorial introduces polynomials, explaining their structure and how to write them in standard form. It covers classifying polynomials by degree and number of terms, providing examples and practice problems. The tutorial also demonstrates how to add and subtract polynomials, emphasizing the importance of combining like terms and maintaining standard form.

What does the term 'polynomial' mean?

• An expression with one term

• A function with a single variable

• A type of equation

• An expression with many terms

In what order should the terms in a polynomial in standard form be written?

• Numerical order with the highest exponent first

• Random order

• Alphabetical order with the highest exponent first

• Alphabetical order with the lowest exponent first

What does a polynomial in standard form look like?

• Terms are arranged from the highest to the lowest degree

• Terms are arranged randomly

• Only constants are used

• Terms are arranged from the lowest to the highest degree

What is a polynomial called if it has an exponent of 3?

• Quartic

• Cubic

• Linear

• Quadratic

How is a polynomial with four terms classified?

• Polynomial

• Trinomial

• Binomial

• Monomial

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

• Linear trinomial

• Cubic binomial

• Quadratic trinomial

• Quadratic binomial

What is the classification for a polynomial with a single term?

• Polynomial

• Monomial

• Trinomial

• Binomial

How do you add polynomials?

• By multiplying like terms

• By combining like terms

• By subtracting like terms

• By dividing like terms

What is the result of subtracting polynomials?

• A constant

• A new polynomial

• A single term

• An equation

What is the first step in subtracting polynomials?

• There is no specific first step

• Multiply each term by -1

• Change the sign and then combine like terms

• Combine like terms directly