purplepower3989
Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.