Factoring and the Distributive Property

The video tutorial explains the distributive property, showing how a factor multiplied by a sum equals the sum of the factor multiplied by each addend. It demonstrates factoring by removing a common factor from terms and placing it outside parentheses. The example of factoring 6 + 8 is used, showing the process of dividing each term by the common factor and verifying the result by redistributing. The lesson concludes with a summary of the factoring process.

What does the distributive property allow you to do with a factor and a sum?

• Divide the factor by the sum

• Subtract the factor from the sum

• Add the factor to the sum

• Multiply the factor by each addend and then add the products

How is the distributive property represented algebraically?

• a + (b + c) = ab + ac

• a(b + c) = a + b + c

• a(b - c) = ab - ac

• a(b + c) = ab + ac

What is the common factor in the expression 6 + 8?

• 4

• 3

• 2

• 1

After factoring out the common factor from 6 + 8, what remains inside the parentheses?

• 1 + 1

• 2 + 2

• 3 + 4

• 6 + 8

How can you verify that the factored form of an expression is correct?

• By dividing the expression by the factor

• By subtracting the factor from the expression

• By redistributing the factor and checking if it equals the original expression

• By adding the terms inside the parentheses