# Algebra Chapter 8 Lessons 1, 2, 5, and x-box dward

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1. What are the first 10 prime numbers?
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
2. What is the "greatest common factor?"
Factors that are shared by two or more whole numbers are common factors, the biggest of these common factors is the greatest common factor.
3. How to factor if there are more than three terms?
Grouping. Group terms that have a common number or variable as a factor.
4. Perfect-Square Trinomial:  a2 + 2ab + b2
(a + b)(a + b) = (a + b)2
5. Perfect-Square Trinomial:  a2 - 2ab + b2
(a - b)(a - b) = (a - b)2
6. Factoring a Difference of Two-Squares
a2 - b2 = (a + b)(a - b)
7. What are the steps to factoring a trinomial using the x-box method?
• Ax2 + Bx + C
• 1. List the factor pairs of the product of A & C up to the square root of A * C.
• 2. Find the sum and the difference of each factor pairs. Look for the value of B.
• 3. Plug into:  (x [sign and value of factor 1]/A)(x [sign and value of factor 2]/a)
• 4. Simplify the fractions.
 Author: dward ID: 195888 Card Set: Algebra Chapter 8 Lessons 1, 2, 5, and x-box dward Updated: 2013-01-28 06:00:21 Tags: dward Folders: Description: Algebra Chapter 8 Lessons 1, 2, 5, and x-box Show Answers: