purplepower3989
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

What is the relationship between multiplying and factoring

Sagot :

danielmaduroh
The fundamental idea of multiplying is repeated addition. For example:

[tex]3 \times 5 = 15[/tex]

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

[tex]3 \times 5 = 5+5+5=15[/tex]

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

[tex]3 \times 5 = 3+3+3+3+3=15[/tex].

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:

[tex](a+b)(a-b)[/tex]

So you have the factors:

[tex](a+b) \ and\ (a-b)[/tex] 

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:

[tex]f(x)=(x-a)(x-b)(x-c)[/tex]

To conclude the relationship between both concepts is the product of factors.

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.

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.