This is a free lesson from our course in Algebra I
In this lesson you'll learn how to factor the binomials and polynomials. It is an important step in solving
problems in a good number of algebraic applications. In factoring polynomials, you have to determine
all the terms that were multiplied together to get the given polynomial. You then
try to factor each of the terms you found in the first step. This continues until
you can't factor anymore. For Example, here is the complete factorization of the
polynomial x^{4}
 16 = (x^{2} + 4)(x + 2)(x  2) (More text below video...)
(Continued from above) Factoring a polynomial is the opposite process of multiplying polynomials. Recall that when you factor a number, you are looking for prime factors
that multiply together to give the number.
For Example, 6 = 2 * 3 , or 12 = 2 * 2 * 3.
When you factor a polynomial, you are looking for simpler polynomials that can be multiplied together to give the polynomial that you started with.
When you factor a polynomial, you are usually only interested in breaking it down into polynomials that have integer coefficients and constants. This might seem complicated here as it is written in text, but it will be easy to follow once you hear the instructor explain it in the video above.
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