Unit 7: Rational Functions - Review 12/6/24

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.

Front

How do you simplify a rational function?

Back

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

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

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

Back

Canceling common factors helps to simplify the expression, making it easier to evaluate or analyze.

Front

What is the result of simplifying 15x²/5x³?

Back

The result is 3/x.

Front

What is the result of simplifying (x² + 11x + 24)/(x² + 4x - 32)?

Back

The result is (x + 3)/(x - 4).

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the difference between a numerator and a denominator?

Back

In a fraction, the numerator is the top part that represents the number of parts considered, while the denominator is the bottom part that represents the total number of equal parts.

Front

What does it mean for a function to be undefined?

Back

A function is undefined when the denominator of a rational function equals zero, as division by zero is not possible.