Exploring Adding and Subtracting Rational Expressions

The video tutorial begins with a warm-up on the distributive property, followed by an introduction to factoring, which is described as the opposite of distribution. The teacher explains the concept of factoring polynomials and introduces the greatest common factor (GCF) method. Several examples are provided to illustrate how to identify and use the GCF to factor polynomials. The session concludes with practice problems to reinforce the concepts learned.

What is the result of applying the distributive property to 'a' multiplied by '3a'?

• 10a

• 3a^2

• a^3

• 3a

What do you get when you multiply '-2m' by 'M squared'?

• -4m

• -2m^2

• -2m^3

• 2m^2

What is the simplest form of '4a squared + 8a'?

• 2a(2a + 4)

• 4a(a + 2)

• 12a^2

• 4a^2 + 8a

What does factoring a polynomial involve?

• Squaring each term

• Breaking it into at least two parts

• Combining like terms

• Multiplying coefficients

What is a polynomial that cannot be factored called?

• Composite

• Prime

• Simple

• Complex

What is the first step in identifying the GCF?

• Divide the terms by the GCF

• List out all factors of the terms

• Check the coefficients for a GCF

• Factor each term completely

What do you do after identifying the GCF?

• Add the GCF to each term

• Divide each term by the GCF

• Subtract the GCF from each term

• Multiply each term by the GCF

How can you check your work after factoring by GCF?

• By adding

• By subtracting

• By distributing

• By dividing

What can be factored out of '4y squared and -24y'?

• 4

• 24

• 4y

• y

What is the GCF of 14 and 18?

• 9

• 4

• 2

• 7