This is a free lesson from our course in Algebra I
In this part of lesson you'll learn how to factor an expression of exponents with the same base. Generally speaking,
for factoring exponents with the same base, you need to take a common factor out
of the expression, and this factor is the base raised to the lowest exponent. For
example, x^{2} is the common factor in the expression x^{2} +
x^{6}, and hence the expression can be rewritten as x^{2}(1
+ x^{4}).Factor the binomials and polynomials is an important step in solving problems in a good number of algebraic applications. In factoring polynomials, you 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^{2} + x^{6} = x^{2}(1 + x^{4})
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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