This is a free lesson from our course in Algebra I

 In this lesson, you'll learn how to work with polynomials using the concept of ratios. You'll also see how to factor the numerator and the denominator of a rational expression, cancel out the common factors and reduce the expression into its lowest terms. For example, let's say you have to simplify the expression (9b2 - 4)/(3b2 - 11b + 6). To do this, you can factor the numerator 9b2 - 4 to arrive at (3b + 2)(3b - 2), and the denominator 3b2 - 11b + 6 to get (3b - 2)(b - 3). As both the expressions have a common factor, i.e. (3b - 2), it is canceled out, and the remaining simplified expression is (3b + 2)/(b - 3).
Other useful lessons:
 Working with ratios Getting started - Ratio of monomials and polynomials
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