How do you factor $$x^2 - y^2$$ ?

Using the difference of squares formula, $$x^2 - y^2 = (x - y)(x + y)$$ .

What is the result of factoring $$x^2 + 4x + 4$$ ?

$$(x + 2)(x + 2)$$ or $$(x + 2)^2$$ .

How do you identify a difference of squares?

A difference of squares can be identified if the expression is in the form $$a^2 - b^2$$ .

What is the significance of the difference of squares in algebra?

It allows for the simplification of expressions and solving equations more easily.

How do you factor a trinomial of the form $$ax^2 + bx + c$$ ?

Look for two numbers that multiply to $$ac$$ and add to $$b$$ .

Factoring Differences of Squares Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the difference of squares formula?

Back

Tags

CCSS.HSA.APR.C.4

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

3.

FLASHCARD QUESTION

Front

What is the first step in factoring a polynomial?

Back

The first step is to look for a common factor in all terms.

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.B.2

5.

FLASHCARD QUESTION

Front

What is a prime polynomial?

Back

A prime polynomial is a polynomial that cannot be factored into simpler polynomials with integer coefficients.

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.APR.C.4

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