Explain simplifying rational expressions, Mathematics

Assignment Help:

Explain Simplifying Rational Expressions ?

A rational expression, or algebraic fraction, is an expression in which you have a polynomial divided by a polynomial. Sometimes it is said that a rational expression is a polynomial "over" a polynomial.

Here are two examples of rational expressions:

10x3y/15x2y4 and (2x2 +11x +15) /x2-9

Important: The bottom polynomial can never be zero, because division by zero is undefined!
To simplify or reduce a fraction such as 6/15, you must first factor the numerator and denominator, and then you can eliminate, or cross out, the common factors.

Like this:

1707_The bottom polynomial.png
The same canceling procedure can be used to simplify rational expressions. Here are some examples of how you can do this:


Related Discussions:- Explain simplifying rational expressions

Pre-calculas, find the polar coordinates of each point with the given recta...

find the polar coordinates of each point with the given rectangular coordinates. (-(squareroot(3)),3

first person drawn was named the class president, Consider a class of 55 s...

Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a)     If the first person drawn was named the class presi

Draw and label the graphs of the pdf, 1. What is the value of Φ(0)? 2. Φ...

1. What is the value of Φ(0)? 2. Φ is the pdf for N(0, 1); calculate the value of Φ(1.5). 3.  Suppose X ~ N(0, 1). Which, if either, is more likely: .3 ≤ X ≤ .4, or .7 ≤ X ≤

How many checks required to be used for the monthly costs, Green Bank charg...

Green Bank charges a monthly fee of $3 for a checking account and $.10 per check. Savings-R-Us bank charges a $4.50 monthly fee and $.05 per check. How many checks required to be u

Proof of the derivative of a constant, Proof of the Derivative of a Constan...

Proof of the Derivative of a Constant : d(c)/dx = 0 It is very easy to prove by using the definition of the derivative therefore define, f(x) = c and the utilize the definiti

Find integer if sum of two consecutive odd integers is -112, The sum of two...

The sum of two consecutive odd integers is -112. What is the larger integer? Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 n

Quadratic equation, can anyone explain me the concept of quadratic equation...

can anyone explain me the concept of quadratic equation?

How to solve lim 1-cos(x)/1-cos(4x) as x tends to zero, Use L''hopital''s r...

Use L''hopital''s rule  since lim X-->0  1-cos(x)/1-cos(4x)  is in the indeterminate form 0/0 when we apply the limt so by l''hoptital''s rule differentiate the numerator and den

6thgrade, do you have 3 digit and 4 digit number problem

do you have 3 digit and 4 digit number problem

Why is vector division undefined, Division basically refers to multiplicati...

Division basically refers to multiplication of reciprocal. For example a/b is same as a*1/b or we can say, is same as a*b -1 , which is "a" multiplied to the inverse of "b". There

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd