Exploring Adding and Subtracting Rational Expressions

This video tutorial covers the basics of monomials and polynomials, including definitions and examples. It explains various exponent rules such as the product, power, quotient, negative, and zero exponent rules. The tutorial also demonstrates how to combine like terms and provides examples of operations with monomials. Additionally, it discusses writing polynomials in standard form and classifying them by degree and number of terms.

What is the result of x^2 * x^7 according to the product rule?

• x^14

• x^9

• x^5

• x^7

How do you simplify x^2 raised to the 7th power using the power rule?

• x^7

• x^5

• x^9

• x^14

What does x^7 / x^2 simplify to using the quotient rule?

• x^14

• x^9

• x^3

• x^5

How would you rewrite x^-2 to have a positive exponent?

• -x^2

• x^2

• 1/x^2

• 1/x

What is the value of any non-zero number raised to the zero power?

• Undefined

• The number itself

• 1

• 0

What is the simplified form of (2k^4) * (10k^-7)?

• 20k^-3

• 20k^3

• 2k^-3

• 2k^3

How do you write a polynomial in standard form?

• Ascending order of exponents

• Descending order of exponents

• Alphabetical order

• Random order

What is the degree of the polynomial 4a^3 + 18a^2b^2 + 7ab + b^2?

• 1

• 4

• 2

• 3

Which of the following is a cubic binomial?

• 3/5x^3 + 7/6x

• x^2 + 5

• x^3 + x^2

• x + 1

What is an example of a linear monomial?

• 5x^2

• x

• x + 1

• 5