IM3 module 9 flashcard

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 divide rational expressions?

Back

To divide rational expressions, multiply the first expression by the reciprocal of the second expression.

Front

What does it mean for an expression to be undefined?

Back

An expression is undefined when the denominator equals zero.

Front

How do you find excluded values in a rational expression?

Back

Set the denominator equal to zero and solve for the variable.

Front

What is the process for simplifying a rational expression?

Back

Factor both the numerator and denominator, then cancel out any common factors.

Front

What is the result of multiplying two rational expressions?

Back

Multiply the numerators together and the denominators together.

Front

What is the importance of finding excluded values?

Back

Finding excluded values is crucial to avoid division by zero, which makes the expression undefined.

Front

What is the first step in solving for x in an equation?

Back

Isolate the variable x on one side of the equation.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, making it easier to work with.

Front

What is the difference between a polynomial and a rational expression?

Back

A polynomial is a sum of terms with non-negative integer exponents, while a rational expression is a ratio of two polynomials.