A polynomial expression is considered a rational expression when it is expressed as a fraction where both the numerator and the denominator are polynomials. For example, the expression ( \frac{x^2 + 3x + 2}{x - 1} ) is a rational expression because its numerator ( x^2 + 3x + 2 ) and denominator ( x - 1 ) are both polynomials. Rational expressions can be simplified, added, or multiplied, just like rational numbers, provided that the denominator is not zero.
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.
The given polynomial does not have factors with rational coefficients.
Another rational expression.
Yes.
Thee basic concept is that an rational function is one polynomial divided by another polynomial. The coefficients of these polynomials need not be rational numbers.