Dividing Polynomials: Key Concepts and Techniques

This video tutorial introduces the concept of dividing polynomials, focusing on simplifying monomials and dividing polynomials by monomials. It provides step-by-step examples and practice questions to help learners understand the process of factoring and simplifying expressions by identifying and canceling common factors and variables. The lesson emphasizes the importance of understanding that any number or variable divided by itself equals one, which is crucial for effective simplification.

What is the result of dividing any number by itself?

• 0

• The number itself

• 1

• Undefined

What is the simplified form of 15xyz^2 / 3xz?

• 5y

• 5yz

• 15yz

• 5xyz

What is the first step in simplifying 21a^2c / 7a?

• Add 7 to 21

• Subtract 7 from 21

• Multiply 21 by 7

• Divide 21 by 7

What is the simplified form of 21a^2c / 7a?

• 3bc

• 3ac

• 3a^2c

• 3a^2

How can you simplify a polynomial divided by a monomial?

• By breaking it into separate fractions

• By subtracting the terms

• By multiplying the terms

• By adding the terms

What is the simplified form of 15x^2 / 5x?

• 15x

• 3x^2

• 3x

• 5x

What is the simplified form of 10x / 5x?

• 10x

• 2

• 2x

• 5x

What is the simplified form of 28a^2 / 4a?

• 7a

• 7a^2

• 28a

• 4a

What is the simplified form of 16ab / 4a?

• 16b

• 4ab

• 4a

• 4b

What should you always remember when dealing with exponents?

• Exponents mean variable minus itself

• Exponents mean variable plus itself

• Exponents mean variable divided by itself

• Exponents mean variable times itself