Rational Expressions and Equations

A _____ in one variable is an expression that can be written in the form P/Q, where P and Q are polynomials in one variable and Q ≠ 0.
In simple words, it is the quotient of two polynomials.

Like other types of algebraic expressions, a _____ may be evaluated by substituting a given value for each variable in the expression. When dealing with _____s, it is important to note that division by zero gives an undefined result. This means that each variable in an expression cannot assume a real number value that will make the denominator of the expression equal to zero.

Evaluate the rational expression m = x^3 + x^2/x + 1 if X = 2

Evaluate the rational expression m = x^3 + x^2/x + 1 if X = 0

Evaluate the rational expression m = x^3 + x^2/x + 1 if X = -1

Aside from determining the domain of _____s, it is also important that you know how to simplify them.
A _____ is in its simplest form when the numerator and denominator have no common factor other than 1.

• Factors and addends are different

• TRUE

• FALSE

• Factors are things multiplied together

• TRUE

• FALSE

• Addends are things added together

• TRUE

• FALSE

WE CAN ONLY CANCEL OUT FACTORS!

• TRUE

• FALSE