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I. Factoring, Summaries of Elementary Mathematics

Washington State University (WSU or Wazzu)Elementary Mathematics

To “factor” an expression completely means to write it as a product of its (prime*) factors. ... Definition: A common factor is a factor.

Typology: Summaries

2022/2023

Uploaded on 03/01/2023

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6.1 / Introduction to Factoring
I. Factoring:
To “factor” an expression completely means
to write it as a product of its (prime*) factors...
e.g.,30 = 2A3A5 or 6x + 12 = 6(x + 2)
*see section 1.6
(p.59)
II. Greatest Common Factor (p.385):
1. Definition: A common factor is a factor
common to every term in the expression...
2. ab + ac - ad = a(b + c - d)
i.e., the Distributive Property (but applied in
reverse fashion)
3. Examples (p.390): Problems #2,4,8,10,16,22
pf3
pf4

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6.1 / Introduction to Factoring

I. Factoring: To “factor” an expression completely means to write it as a product of its (prime*) factors... e.g. , 30 = 2 A 3 A 5 or 6 x + 12 = 6( x + 2)

  • see section 1.6 (p.59)

II. Greatest Common Factor (p.385):

  1. Definition: A common factor is a factor common to every term in the expression...
  2. a b + a c - a d = a (b + c - d) i.e., the Distributive Property (but applied in reverse fashion)
  3. Examples (p.390): Problems#2,4,8,10,16,

6.1 / Introduction to Factoring ( continued , p.2)

IV. Group Factoring (p.388):

  1. Examples (p.391): Problems #64,
  2. Not covered on any quiz/exam... i.e. , Problems #43-56 (pp.390-391) will not be covered

HW: p.390 / Problems #1,3,7,9,11,15,19,21,29,33, 63, Read pp.395-398 (section 6.2)

6.2 / Factoring Trinomials of the Type x^2 + b x + c ( continued , p.2)

II. Examples (p.399): Problems #2-26(even),42,

HW: p.399 / Exercises #1-25(every other odd),41,45, 47,61, Read pp.395-398 (section 6.2)