Rational Expressions Review

Front

What is a rational expression?

Back

A rational expression is a fraction where both the numerator and the denominator are polynomials.

Front

How do you simplify a complex fraction?

Back

To simplify a complex fraction, find a common denominator for the fractions in the numerator and denominator, then simplify.

Front

What is the first step in dividing rational expressions?

Back

The first step is to multiply by the reciprocal of the divisor.

Front

What does it mean to multiply rational expressions?

Back

To multiply rational expressions, multiply the numerators together and the denominators together, then simplify.

Front

What is the process for adding rational expressions?

Back

To add rational expressions, find a common denominator, rewrite each expression, and then combine the numerators.

Front

What is the difference between a proper and improper rational expression?

Back

A proper rational expression has a degree of the numerator less than the degree of the denominator; an improper one has a degree of the numerator greater than or equal to the degree of the denominator.

Front

What is a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

How do you factor a polynomial?

Back

To factor a polynomial, look for common factors, use grouping, or apply special factoring formulas like the difference of squares.

Front

What is the least common denominator (LCD)?

Back

The least common denominator is the smallest expression that can be used as a common denominator for a set of rational expressions.

Front

What is the significance of canceling common factors in rational expressions?

Back

Canceling common factors simplifies the expression and helps in reducing it to its simplest form.