3.4 Flashcard Factoring

Front

What is the simplified product of the sum and difference of two terms?

Back

The simplified product of the sum and difference of two terms, such as (a+b)(a-b), is given by the formula a^2 - b^2.

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Back

(2x+5)(2x-5)

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Back

(x-11)(x+4)

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Back

5(x-3)(x+7)

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Back

(x+1)(x-14)

Front

What is the difference of squares?

Back

The difference of squares is a special product that states: a^2 - b^2 = (a+b)(a-b).

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Back

To factor a quadratic expression, find two numbers that multiply to ac and add to b, then rewrite the expression using these numbers.

Front

What is the first step in factoring a polynomial?

Back

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

Front

What does it mean to factor completely?

Back

Factoring completely means breaking down a polynomial into its simplest factors, including all possible factors.

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Back

(x+2)(x+3)