Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concept of factoring expressions, which involves reversing the distributive property to separate an expression into a product. It explains how to find the greatest common factor (GCF) and use it to factor expressions. The tutorial provides multiple examples, including cases where expressions are prime and cannot be factored further. It also compares different methods of factoring, as demonstrated by Nick and Cora, and concludes with simplifying expressions by combining like terms before factoring.

What is the process of factoring in algebra?

• Finding the least common multiple

• Reversing the distributive property to find factors

• Combining like terms

• Solving quadratic equations

How do you check if your factoring of an expression is correct?

• By simplifying the expression

• By performing addition on the factors

• By using the distributive property to expand

• By substituting values and checking equality

What is the greatest common factor (GCF) of 8 and 32?

• 32

• 4

• 8

• 16

What is the GCF of 16 and 64?

• 8

• 16

• 64

• 32

What should you write if an expression like 11 and 18 has no GCF other than 1?

• Single

• Unitary

• Composite

• Prime

If an expression cannot be factored, what term is used to describe it?

• Indivisible

• Prime

• Irreducible

• Composite

Which is more correct in factoring, using the highest GCF available or any common factor?

• Any common factor

• The highest GCF available

• Both are equally correct

• Neither, factoring should not use GCF

In the expression 40X + 64, who factored it more correctly, Nick or Cora?

• Cora

• Both equally

• Neither

• Nick

What is the GCF used to factor the expression 12V + 6?

• 2

• 3

• 6

• 12

After combining terms, what is the factored form of 6A + 18B?

• 6(A + 3B)

• 18(A + B)

• 3(2A + 6B)

• 9(2A + 6B)