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Algebra II - three special types of factoring

by KELLY
(HAZLETON, PA)











































What are the three special types of factoring described in section 6.4? Which of these three makes the most sense to you? Which of these is the most difficult? Explain why. Provide a problem for the class to try from the section 6.4 exercises, #15-89

Comments for Algebra II - three special types of factoring

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May 08, 2013
factoring formulas
by: Staff


Answer

Part I

You didn't say what book you are using or what the three special types of factoring are described in section 6.4.

However, you are probably referring to the following types of factoring:

1 Factoring a difference of squares.

2 Factoring a perfect square trinomial.

3 Factoring a difference of cubes.

4 Factoring a sum of cubes.



Factoring a difference of squares

Factoring a Difference of Two Squares





For example, factor the following: 4x² - 64

Factoring 4x² - 64 using the Difference of Squares Formula





The difference of squares formula is used extensively to rationalize the denominator of a fraction.


Factoring a perfect square trinomial

Factoring a perfect square trinomial





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May 08, 2013
factoring formulas
by: Staff


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Part II


For example, factor the following: x² + 16x + 64

Factoring x² + 16x + 64 using the perfect square trinomial formula





Or, factor the following trinomial: x² - 16x + 64

Factoring x² - 16x + 64 using the perfect square trinomial formula





Factoring a difference of cubes

Factoring a Difference of Two Cubes





For example, factor the following: x³ - 216

Factoring x³ - 216 using the difference of cubes factoring formula






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May 08, 2013
factoring formulas
by: Staff


--------------------------------------


Part III


Factoring a sum of cubes

Factoring a Sum of Two Cubes





For example, factor the following: x³ + 216

Factoring x³ + 216 using the sum of cubes factoring formula








Thanks for writing.

Staff
www.solving-math-problems.com


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