Factoring Flow Chart

1
Factoring Flow Chart

• On each slide click on the word that fits each
  step
• Next

2
Look for greatest common monomial factorsNext
3
What does your problem look like

• Is it a binomial?
• Is it a trinomial?
• Is it a polynomial with 4 or more terms?

4
Binomial

• Is it the difference between two perfect squares?
• Yes
• No

5
Factor to form(x c)(x c)Next
6
Is either binomial a difference between two
perfect squares

• Yes
• No

7
Trinomials

• Does your trinomial have a leading coefficient of
  
• One
• A number other than one

8
Trinomial with leading coefficient other than one

• Is your last sign
• Positive
• Negative

9
Last sign positive

• Is your middle sign
• Positive
• Negative

10
Last sign positive and middle sign positiveUse
(ax c)(bx d) and check for your middle term

• Are one of your factors difference between two
  perfect squares
• Yes
• No

11
Last sign positive and middle sign negativeUse
(ax - c)(bx - d) and check for your middle term

• Are one of your factors difference between two
  perfect squares
• Yes
• No

12
Last sign negativeUse (ax c)(bx - d) and check
for your middle term

• Are one of your factors difference between two
  perfect squares
• Yes
• No

13
Write as a product of two binomials

• Is your last sign
• Positive
• Negative

14
Last sign positive

• Is your middle sign
• Positive
• Negative

15
Last sign positive and middle sign positiveUse
(x c)(x d) and check for your middle term

• Are one of your factors difference between two
  perfect squares
• Yes
• No

16
Last sign positive and middle sign negativeUse
(x - c)(x - d) and check for your middle term

• Are one of your factors difference between two
  perfect squares
• Yes
• No

17
Last sign negativeUse (x c)(x - d) and check
for your middle term

• Are one of your factors difference between two
  perfect squares
• Yes
• No

18
Polynomial with 4 or more terms

• Group two terms that have a common monomial
  factor
• Factor out a common binomial factor
• Ex. Ax Ay 3x 3y
• A(x y) 3(x y)
• (x y)(A 3)
• Hint look for oppostites

19
Congratulations you have successfully completed
the problem.Would you like to do another one?

• Yes
• No

20
You have now completed all of your assignment.
You may have a cookie.