Facts: A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as x2 + 4x + 4. An irrational algebraic expression is one that is not rational, such as √x + 4.
Definitions: A rational expression is the ratio of two polynomials. If f is a rational expression then f can be written in the form p/q where p and q are polynomials.
Answers & Comments
Answer:
Facts: A rational algebraic expression (or rational expression) is an algebraic expression that can be written as a quotient of polynomials, such as x2 + 4x + 4. An irrational algebraic expression is one that is not rational, such as √x + 4.
Definitions: A rational expression is the ratio of two polynomials. If f is a rational expression then f can be written in the form p/q where p and q are polynomials.
Examples of rational expression are
5/x − 2, 4/(x + 1), (x + 5)/5, (x2 + 5x + 4)/(x + 5),
(x + 1)/(x + 2), (x2 + x + 1)/2x
Example: Simplify: (x2 + 5x + 4) (x + 5)/(x2 – 1)
Solution
Factoring the numerator and denominator to get;
⟹ (x + 1) (x + 4) (x + 5)/(x + 1) (x – 1)
Now cancel the common terms.
⟹ (x + 4) (x + 5)/(x – 1)
Sana ma gets niyo po, medyo di ko na po tanda eh