What is the factored form of $$x^2 + 7x + 10$$ ?

The factored form is $$(x + 5)(x + 2)$$ .

What is the factored form of $$x^2 - 4$$ ?

The factored form is $$(x - 2)(x + 2)$$ .

What is the result of simplifying $$\frac{x^2 + 7x + 10}{x^2 - 4}$$ ?

The result is $$\frac{x + 5}{x - 2}$$ .

Why can't we factor using the difference of two squares for $$49x^2 + 4y^2$$ ?

Because we can't factor using difference of two squares if it is an addition sign.

What is the factored form of $$3v^2 - 4v - 7$$ ?

The factored form is $$(3v - 7)(v + 1)$$ .

What is a common mistake when simplifying rational expressions?

A common mistake is to cancel terms that are not common factors.

What is the importance of checking for restrictions in rational expressions?

It is important to check for restrictions to avoid division by zero, which is undefined.

What does it mean for a rational expression to be in simplest form?

A rational expression is in simplest form when the numerator and denominator have no common factors other than 1.

Simplifying Rational Expressions Flashcards

Student preview

15 questions

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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

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.

Tags

CCSS.HSA.APR.D.6

3.

FLASHCARD QUESTION

Front

What is the difference of two squares?

Back

Tags

CCSS.HSA.APR.C.4

4.

FLASHCARD QUESTION

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.

5.

FLASHCARD QUESTION

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

6.

FLASHCARD QUESTION

Front

How do you identify a perfect square trinomial?

Back

Tags

CCSS.HSA.APR.C.4

7.

FLASHCARD QUESTION

Front

Back

The first step is to factor both the numerator and the denominator.

Tags

CCSS.HSA.APR.D.6

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