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

Fact of the wronskian method, Given two functions f(x) and g(x) which are d...

Given two functions f(x) and g(x) which are differentiable on some interval I  (1) If W (f,g) (x 0 ) ≠ 0 for some x 0 in I, so f(x) and g(x) are linearly independent on the int

Find out the different strategies of multiplications, 1. Give some Class 4 ...

1. Give some Class 4 children around you problems like 15 x 6 to do dentally. Interact with them to find out the different strategies they use for doing it, and note these down.

Fractions, how to divide fractions?

how to divide fractions?

Theorem, Theorem, from Definition of Derivative  If f(x) is differenti...

Theorem, from Definition of Derivative  If f(x) is differentiable at x = a then f(x) is continuous at x =a. Proof : Since f(x) is differentiable at x = a we know, f'(a

High self-esteem helps learning-how do children learn?, High Self-esteem He...

High Self-esteem Helps Learning :  Consider Ajay, a student of Class 2. He is constantly told by his irritated father, "How stupid you are! You don't even understand this! Even yo

Word problem, A jet flew at an average speed of 480mph from Point X to Poin...

A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer

Compute the regular expression, 1. Consider the following context free gram...

1. Consider the following context free grammar G with start symbol S (we write E for the empty string, epsilon): S ---> bB | aSS A ---> aB | bAA B ---> E | bA | aS a. D

Ratio, how to do them?

how to do them?

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