Algebra Tutorials!

 Thursday 20th of July

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 Depdendent Variable

 Number of equations to solve: 23456789
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 Solve for:

 Dependent Variable

 Number of inequalities to solve: 23456789
 Ineq. #1:
 Ineq. #2:

 Ineq. #3:

 Ineq. #4:

 Ineq. #5:

 Ineq. #6:

 Ineq. #7:

 Ineq. #8:

 Ineq. #9:

 Solve for:

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# Factoring by Grouping

## Factoring:

Some rules governing factoring in elementary algebra:

1. The numbers (coefficients) must be real and rational.

2. The powers must be whole numbers.

3. Prime factors include:

a) Linear polynomial, such as (x + 3), (x + y + z)

b) The sum of an even degree term (2 or higher) with any real number, such as:

(x2 + 4), (x2 y2  + 9), (2x2  + 25), (x2  + 3), etc.

c) The sum of two even-powered terms, such as: (x4 + y4), (x6 + y8), (x2 + y6)

d) Certain quadratic trinomials which cannot be expressed as the product of two linear binomials with rational numbers. There is a special test for this which will be discussed later.