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In your own words, explain what is accomplished by factoring. include a sample problem in which you factor a monomial from a polynomial.

Question

mathmale · Answer

Please give this problem a stab on your own and then show your work and ask for feedback on it.  Asking for answers and promising rewards for "best answer" is not appropriate on OpenStudy.

anonymous · Answer

okay....

mathmale · Answer

I'd really like to help you, and will respond positively to any appropriate question you post.

mathmale · Answer

To help you get started:  What's a monomial?  What's a polynomial?
What would it mean to "factor a monomial out of a polynomial"?

anonymous · Answer

Think about why we factor regular numbers into primes, or why we represent matter as a composition of atoms. Matter and numbers can be very complex and representing them as a sum of the basic building blocks that underlie all of them can reveal deep relationships between them. Polynomials are in fact always reducible to a product of what are known as "prime polynomials" polynomials that cannot be reduced further, just as numbers are reducible to a product of prime numbers. Think about why we like dealing with prime numbers.