Explain factoring in algebra?

Factoring may be nothing more than breaking a number into its multiples.

The number 15 can be factored into (3)X(5).

In Algebra we can factor equations into their multiples such as.

X^2 + 2x-8 can be factored into (x+4)(x-2) We typically factor these by a guess and check method. We know that a polynomial of the form X^2 +BX +C that is represented by (X+a)(X+b) follows these equations.

For equations that cannot be broken into integer components, we use the quadratic equation for polynomials that are second order. The equation is as follows.

The roots = -b+(b^2-4ac)^1/2/2a and -b-(b^2 -4ac)^1/2/2a.

Roots of larger order polynomials can use integers that make the equation equal zero, iterative approximation can be used, and some numbers can be broken down by binomial expansion rules. These are to long for this quick discussion. I will explain them in a hub some day.

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