Adding and Subtracting Rational Functions
المؤلف:
المرجع الالكتروني للمعلوماتيه
المصدر:
www.almerja.com
الجزء والصفحة:
...
4-3-2017
1667
First of all, a rational function is pretty much just the division of two polynomial functions. For example, the following is a rational function:
When adding or subtracting rational functions, you must find a common denominator as you might do with regular fractions. For example, to add 1/2 and 1/3, you might do the following:
Now, let's apply this same strategy to the addition and subtraction of rational functions:
Step 1) Find a common denominator by multiplying the denominators. So, (x + 3)(x - 2) becomes our common denominator in this case. Then, multiply each fraction by something equivalent to one, such as (x+3)/(x+3), to get each fraction in terms of that common denominator:
Here's what we have so far. Just multiply out the top and we will be ready to add the two fractions:
Now add the numerators just like you would with two simple fractions:
Finally we want to expand the denominator as well to give us the resulting rational function:
And that's our answer!
NOTE: To subtract rational functions, follow the same steps that you used to add rational functions, but just subtract the numerators instead of adding them!
الاكثر قراءة في مواضيع عامة في الجبر
اخر الاخبار
اخبار العتبة العباسية المقدسة
