Modified Rational Expressions & Equations - Honors

Front

What is a rational expression?

Back

A rational expression is a fraction where the numerator and the denominator are both polynomials.

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What does it mean for a rational expression to be undefined?

Back

A rational expression is undefined when its denominator equals zero.

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Back

The excluded value is x = 3.

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Back

Front

Back

Combine the fractions on the right side to have a common denominator.

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Back

The excluded values are x = 2 and x = -2.

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Back

Multiply both sides by x to eliminate the fraction, then rearrange and solve the resulting quadratic equation.

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables raised to non-negative integer powers and coefficients.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

Front

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

Back

A rational expression is a fraction of polynomials, while a rational equation is an equation that contains a rational expression.