Exploring Adding and Subtracting Rational Expressions

The video tutorial covers dividing polynomials, starting with basic examples and progressing to more complex problems. It explains the process of dividing each term in the numerator by the term in the denominator, handling exponents, and using the distributive property. The tutorial emphasizes the importance of combining like terms before division and provides step-by-step examples to illustrate these concepts.

What is the first step in dividing a polynomial by a monomial?

• Divide each term in the numerator by the term in the denominator

• Multiply each term in the numerator by the term in the denominator

• Subtract each term in the numerator from the term in the denominator

• Add each term in the numerator to the term in the denominator

When dividing exponents, what operation do you perform?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is the result of dividing -36 by 4?

• -8

• -9

• 8

• 9

In the example where 7 is divided by 7, what is the result?

• 7

• -1

• 1

• 0

What should you do if the same variable appears in both the numerator and the denominator?

• Multiply the variables

• Cancel out the variables

• Subtract the variables

• Add the variables

What is the result of dividing 40 by 8?

• 5

• 4

• 6

• 7

In the example where 30 is divided by -5, what is the result?

• 6

• -6

• -5

• 5

What is the result of dividing 20 by 5?

• 2

• 4

• 5

• 3

What should you do before dividing in more complex problems?

• Distribute

• Combine like terms

• Subtract the terms

• Add the terms

What is the final result of dividing 12 by 4?

• 5

• 4

• 3

• 2