Unit 6 Flashcard Rational Functions

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 expression?

Back

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

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves rewriting it as a product of its factors, which can include numbers, variables, or other polynomials.

Front

What is the significance of the degree of a polynomial?

Back

The degree of a polynomial indicates the highest power of the variable in the polynomial, which affects its behavior and the number of roots it can have.

Front

How do you find the least common denominator (LCD) of two rational expressions?

Back

The least common denominator is found by determining the least common multiple of the denominators of the rational expressions.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

How do you solve a rational equation?

Back

To solve a rational equation, first find a common denominator, multiply through by it to eliminate the fractions, and then solve the resulting equation.

Front

What is the relationship between speed, distance, and time?

Back

The relationship is given by the formula: Distance = Speed × Time.

Front

How do you factor the expression 8x^3 - 18x?

Back

The expression can be factored as 2x(2x + 3)(2x - 3).

Front

What is the result of dividing two rational expressions?

Back

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