PLEASE HELP WITH MATH PROJECT!!!! FACTORING BROCHURE

Make a brochure to serve as a guide to factoring polynomials. The brochure should be made by folding a piece of a paper into thirds. The cover of the brochure should be the front section.

Make a tutorial for the following methods of factoring.

-GCF PLEASE SOLVE THE EXAMPLES

-Difference of Squares

-Trinomials (a=1)

-Trinomials (a>1)

-Grouping

For each method you must include the following

-A title for the factoring technique

-An explanation of the factoring technique

-Three examples with various levels of difficulty

-For methods 2, 3, & 4 one example must include a GCF

This is what I have, please help with what's left Need explanation of factoring technique, need problems solved

Inside the brochure:

Greatest Common Factor (GCF)

• Technique: Find the greatest common factor of all the terms in the polynomial and factor it out.
• Example 1: 4x + 8x -> 4x(x + 2)
• Example 2: 6x - 9x + 3x -> 3x(2x - 3x + 1)
• Example 3: 15x - 10x + 5x -> 5x(3x - 2x + 1)

Difference of Squares

• Technique: Recognize the polynomial as the difference of two squares and factor accordingly.
• Example 1: x - 9 -> (x + 3)(x - 3)
• Example 2: 4x - 16 -> 4(x - 4) -> 4(x + 2)(x - 2)
• Example 3: 9x - 81 -> 9(x - 9) -> 9(x + 3)(x - 3)

Trinomials (a = 1)

• Technique: Find two numbers that multiply to the constant term and add to the linear coefficient.
• Example 1: x + 5x + 6 -> (x + 2)(x + 3)
• Example 2: x - x - 6 -> (x + 2)(x - 3)
• Example 3: 2x + 7x + 6 -> 2(x + (7/2)x + 3) -> 2(x + 1)(x + 3)

Trinomials (a > 1)

• Technique: Use the AC method or trial-and-error to factor trinomials with a leading coefficient greater than 1.
• Example 1: 6x - 7x - 3 -> (2x + 1)(3x - 3)
• Example 2: 5x - 11x + 2 -> (5x - 1)(x - 2)
• Example 3: 12x - 14x - 6 -> 2(6x - 7x - 3) -> 2(2x + 1)(3x - 3)

Grouping

• Technique: Group terms with common factors and factor out the common factors.
• Example 1: x + x - x - 1 -> x(x + 1) - 1(x + 1) -> (x - 1)(x + 1)
• Example 2: 3x - 6x + x - 2 -> 3x(x - 2) + 1(x - 2) -> (3x + 1)(x - 2)
• Example 3: 4x + 2x - 4x - 2 -> 2x(2x + 1) - 2(2x + 1) -> (2x - 2)