the main purpose of this is to dance randomly
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(x+5)(x-3)
Try certain physics problems in kinematics without the factoring skill picked up in algebra.
Most of us do not know who "invented" factoring trinomials, many do not even care. Factoring is just one of the axioms that an algebra system establishes. If you really want to know, try searching on Google.
The purpose of factoring financing is to provide financing to the seller of the account in a form of cash advance. A business sells the invoices to a third party at a discount.
Trinomials, Binomials and Monomials