Factoring and the Distributive Property (Example)

The video tutorial explains how to factor the expression 3X + 4X by identifying the common factor, which is the variable X. The process involves placing X outside the parentheses and simplifying the terms inside. The tutorial also demonstrates how to verify the factored expression by distributing X back into the terms to ensure it equals the original expression. This method confirms that X times the sum of three and four is the factored form of 3X + 4X.

What is the common factor in the expression 3X + 4X?

• 3

• 4

• X

• 7

When factoring out the common variable X, what remains inside the parentheses?

• 3X + X

• X + 4

• 3 + 4

• 3X + 4X

How can you verify if the expression has been factored correctly?

• By adding the terms

• By subtracting the terms

• By distributing the common factor

• By multiplying the terms

What is the result of distributing X in the expression X(3 + 4)?

• X + 7

• 3X + 4X

• 7X

• 3 + 4

What is the factored form of the expression 3X + 4X?

• X(3 + 4)

• X + 7

• 3 + 4

• 3X + 4X