Question

What is the relationship between multiplying and factoring?

Answer 1

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

Step-by-step explanation:

Answer 2

Answer:

3x + 12

Step-by-step explanation:

Factoring straddles the line between multiplying and dividing. Let's take a look at the following expression:

3x + 12

Both 3x and 9 have a three in common, so we can factor out that three:

3x ÷ 3 = x

12 ÷ 3 = 4

Now that 3 has been factored out, we set it aside what's left:

3(x + 4)

 

We can get our original expression by distributing (by multiplying) that 3 back in:

x * 3 = 3x

4 * 3 = 12