The coefficients in a rational expression would be rational numbers.
Algebraic expressions are the written relations of or between variables. For example, x2, 1/x, and x + y + z are all algebraic expressions. Algebraic equations are simply algebraic expressions that equate to something. For example, x2 = 4, 1/x = y, and x + y + z = 42 are all algebraic equations. In general, one differentiates algebraic expressions from exponential, trigonometric, hyperbolic, and logarithmic expressions by requiring algebraic expressions to be confined to polynomial expressions. I've added a link regarding polynomials below.
An Algebraic expression is any expression (equation) that contains a letter where a number should be.
An expression consists of algebraic terms and has no equality sign
They both use PEMDAS or Order of Operation
A rational algebraic expression is the ratio of two algebraic expressions. That is, one algebraic expression divided by another. It is important that the domain is defined in such a way the the rational expression does not involve division by 0.
what are the example of quotient orf rational algebraic expression.
Rational linear expressions.
They do not contain an equality symbol.
Lcd/lcm
The coefficients in a rational expression would be rational numbers.
cvxbgfhbfdh
A collection of more than one term.
5-x-1-2+x= x-7
By long division. Factorisation may work but you cannot depend on that.
Exponential, trigonometric, algebraic fractions, inverse etc are all examples.
For example if it was y+y+y it would be 3y. or 3x+2y-1x= (3-1)x + 2y = 2x + 2y = 2(x+y) I'm not sure that the above addresses the question of rational algebraic expressions. You can simplify by finding common factors between numerator and denominator, or try long division, if no factors are evident. See the related link for "How do you divide rational algebraic expression"