Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.
A rational function is the quotient of two polynomial functions.
Another rational expression.
Yes.
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
Just write ANY fraction, with a polynomial in the numerator, and a polynomial in the denominator.
If the algebraic expression can be written in the form of a(x)/b(x) where a(x) and b(x) are polynomial functions of x and b(x) ≠0, then the expression is a rational algebraic expression.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.
That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".
Both - a polynomial expression, if you like.
A rational function is the quotient of two polynomial functions.
Another rational expression.
Yes.
The given polynomial does not have factors with rational coefficients.
If you divide a rational expression by another rational expression, you will again get a rational expression.