IM3 Rational Expressions

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 rational expression?

Back

To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.

Front

What is the domain of a rational expression?

Back

The domain of a rational expression is all real numbers except where the denominator equals zero.

Front

What does it mean to find a common denominator?

Back

Finding a common denominator means identifying a common multiple of the denominators of two or more fractions to combine them.

Front

How do you add rational expressions?

Back

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

Front

What is the process for subtracting rational expressions?

Back

Subtracting rational expressions involves finding a common denominator, rewriting each expression, and then subtracting the numerators.

Front

What is the formula for multiplying rational expressions?

Back

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

Front

How do you divide rational expressions?

Back

To divide rational expressions, multiply by the reciprocal of the divisor and then simplify.

Front

What is the significance of factoring in rational expressions?

Back

Factoring is crucial in rational expressions as it allows for simplification and finding common factors.

Front

What is an example of a rational expression?

Back