Unit 7 Flashcardzz Review

Front

What is the process of factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components (factors) that, when multiplied together, give the original expression.

Front

What does it mean to cancel out in a fraction?

Back

Canceling out in a fraction means to reduce the fraction by dividing both the numerator and the denominator by a common factor.

Front

What is a rational function?

Back

A rational function is a function that can be expressed as the ratio of two polynomials.

Front

How do you simplify a rational function?

Back

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

Front

What are excluded values in a rational function?

Back

Excluded values are values of the variable that make the denominator zero, which are not allowed in the function.

Front

How do you find excluded values?

Back

To find excluded values, set the denominator of the rational function equal to zero and solve for the variable.

Front

What is the significance of the excluded value v = 5 in a rational function?

Back

The value v = 5 is significant because it indicates a point where the function is undefined due to division by zero.

Front

What is the role of the numerator in a rational function?

Back

The numerator represents the output of the function, while the denominator indicates the input values that are valid.

Front

What does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form, making it easier to work with or understand.

Front

What is the result of simplifying 9(x+10)/(x+10)?

Back

The result is 9, as the (x+10) terms cancel out.