Identify the values that make the expression $$\frac{(x+1)(x-7)}{(x-4)(x+3)}$$ undefined.

The expression is undefined for $$x=4$$ and $$x=-3$$ .

How do you simplify the expression $$\frac{x-9}{x+9}$$ ?

The simplified form is $$\frac{1}{x-9}$$ .

Simplify $$\frac{x^8y^{12}}{x^4y^{15}}$$ .

The simplified form is $$\frac{x^4}{y^3}$$ .

For which value is the expression $$\frac{1}{x-3}$$ undefined?

The expression is undefined for $$x=3$$ .

What are the factors of the quadratic expression $$x^2 + 3x - 40$$ ?

The factors are $$ (x+8)(x-5) $$ .

What is the domain of the rational expression $$\frac{1}{x-4}$$ ?

The domain is all real numbers except $$x=4$$ .

How do you find the domain of a rational expression?

To find the domain, set the denominator equal to zero and solve for the variable.

What is the result of simplifying $$\frac{x^2 - 9}{x - 3}$$ ?

The simplified form is $$x + 3$$ .

What is a polynomial?

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

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

A rational expression is a fraction of polynomials, while a polynomial is a sum of terms without division by a variable.

What does it mean to factor an expression?

Factoring an expression means rewriting it as a product of its factors.

What is the significance of identifying restrictions in rational expressions?

Identifying restrictions helps determine the values that cannot be included in the domain of the expression.

What is the process for simplifying rational expressions?

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

Tues Dec 17.... Rational Expressions and Domain Restrictions Flashcards

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1.

FLASHCARD QUESTION

Front

What is a rational expression?

Back

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

2.

FLASHCARD QUESTION

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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.

3.

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4.

FLASHCARD QUESTION

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5.

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6.

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7.

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