How do you multiply and divide rational equations?
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To multiply rational expressions, first factor all numerators and denominators and cancel any factors you can. Then multiply what you have left. To divide, simply flip the divisor (the term you're dividing by) and then multiply. In math-speak, it's called multiplying by the reciprocal of the divisor.
Moreover, how do you multiply and divide rationals?
To multiply rational expressions, first factor all numerators and denominators and cancel any factors you can. Then multiply what you have left. To divide, simply flip the divisor (the term you're dividing by) and then multiply. In math-speak, it's called multiplying by the reciprocal of the divisor.
- Find the common denominator.
- Multiply everything by the common denominator.
- Simplify.
- Check the answer(s) to make sure there isn't an extraneous solution.
Herein, how do you solve rational expressions with multiplication?
Multiplying Rational Expressions
- Multiply the numerators.
- Multiply the denominators.
- Simplify the “new” fraction by canceling common factors. Most of the time, you will need to expand a number as a product of its factors to identify common factors in the numerator and denominator which can be canceled.
Process for Graphing a Rational Function
- Find the intercepts, if there are any.
- Find the vertical asymptotes by setting the denominator equal to zero and solving.
- Find the horizontal asymptote, if it exists, using the fact above.
- The vertical asymptotes will divide the number line into regions.
- Sketch the graph.