A rational number is any number that can be written in the form a/b, where a and b are integers and b ≠0. it is necessary to exclude 0 because the fraction represents a ÷ b, and division by zero is undefined.
A rational expression is an expression that can be written in the form P/Q where P and Q are polynomials and the value of Q is not zero.
Some examples of rational expressions:
-5/3; (x^2 + 1)/2; 7/(y -1); (ab)/c; [(a^2)(b]/c^2; (z^2 + 3z + 2)/ (z + 1) ect.
Like a rational number, a rational expression represents a division, and so the denominator cannot be 0. A rational expression is undefined for any value of the variable that makes the denominator equal to 0. So we say that the domain for a rational expression is all real numbers except those that make the denominator equal to 0.
Examples:
1) x/2
Since the denominator is 2, which is a constant, the expression is defined for all real number values of x.
2) 2/x
Since the denominator x is a variable, the expression is undefined when x = 0
3) 2/(x - 1)
x - 1 ≠0
x ≠1
The domain is {x| x ≠1}. Or you can say:
The expression is undefined when x = 1.
4) 2/(x^2 + 1)
Since the denominator never will equal to 0, the domain is all real number values of x.
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The coefficients in a rational expression would be rational numbers.
if it convert
There is no official antonym for algebraic expression. The only thing that is the opposite of an algebraic expression is something that is not an algebraic expression.
When the denominator is a factor of the numerator. If there is 2x in the numerator and denominator these terms cancel.