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Bumek [7]
3 years ago
5

What is the relationship between multiplying and factoring

Mathematics
2 answers:
STatiana [176]3 years ago
5 0

Answer and explanation;

-When you factor a number, you write it as a product - a list of numbers which, when multiplied, give you the original number.

-Multiplying is making a number bigger by adding itself to itself a certain number of times and factoring is the opposite, taking away a certain number from itself.

GREYUIT [131]3 years ago
4 0
<span>The fundamental idea of multiplying is <em>repeated addition</em>. For example:

3 \times 5 = 15

By taking the number five and add it itself three times we have:

3 \times 5 = 5+5+5=15

In contrast, let's take the number three and add it itself five times, so: 

3 \times 5 = 3+3+3+3+3=15.

Both 3 and 5 are called factors that are numbers. We can multiply them to get another number. Multiplying can also be expressed like this:

(a+b)(a-b)

So you have the factors:

(a+b) \ and\ (a-b) 

You can even write any multiplication as the product of factors. On the other hands, factoring shows that you can write any nth-degree polynomial as the product of linear factors, so:

f(x)=(x-a)(x-b)(x-c)

To conclude the <em>relationship</em> between both concepts is the product of factors.</span>
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