Finding GCF and finding difference of perfect squares! Follow the Rainbow to LEARN:)

1. Rule: This us unfactorable because it is addition and not the DIFFERENCE! Just remember to look for the subtraction sign, or else it is unfactorable.

2. 7. More examples: 4y^2+36 <this one is unfactorable!!!

3. Clarification: This is because all of the numbers in the polynomial are able to be multiplied by themselves. Even the x^2! So if the directions ask you to factor completely by finding the difference of perfect squares, do exactly this!

4. 6. More examples: 4y^2-81 That polynomial will factor out to be... (2y+9)(2y-9)

5. 1. Before you do anything... ALWAYS remember to look for a common factor of the polynomial! For example: 162x^2-16 will be 2(81x^2-4)

6. 5. If the numbers in your polynomial are perfect squares, that means that they can be multiplied by itself! So, if the problem asks you to factor completely, you can just factor out the numbers! For example: 9x^2-16 can easily be reduced to (3x+4)(3x-4)

7. 3. After finding a GCF, remember your perfect squares! Examples: 1, 4, 9,16, 25, 36, 49, 64... ^just remember perfect squares are numbers that can be divided by a number, and end up with the same one! Like, 49/7 equals 7... Therefore it is a perfect square!

8. 2. ALWAYS do this before factoring... Just remember to look for a common factor between all of the numbers, and factor out:)

9. 4. Look in your polynomial, and find if the numbers are all perfect squares. If so, follow on with the rainbow!