Introducing 

Prezi AI.

Your new presentation assistant.

Refine, enhance, and tailor your content, source relevant images, and edit visuals quicker than ever before.

Loading content…
Loading…
Transcript

Factoring Graphic Organizer

GCF (Greatest Common Factor) Factoring

1.List the prime factors of each term

2. Identify the factors common to all terms

3. Write out the GCF

When finding the GCF always use the lowest exponent

Check for GCF on every problem before using another factoring method!

Difference of Two Squares (DOTS)

1. Take the square root of the variable

2. Then take square root of the #

3.Add them together

4. Subtract them

x^2-81= (x+9) (x-9)

16x^2-49= (4x+7) (4x-7)

Grouping

1. Group first two terms together and last two terms together

2. Factor out the GCF for both groups (The remaining binomials will be the same

Split the Middle

1.Multiply a & c

2. Find the factors that add together to get b

3. Rewrite the problem replacing b with two new factors (including the variables)

4. Factor the 4 term polynomial using the grouping method

Use this method if the polynomial has 3-terms

Prime

Do Nothing, leave the polynomial in its given form

5n^2 +2n+7

23x^2 + 17y^2

By: Tripp Elson

Grouping

x^2 +13x+36

36

1 36

2 16

3 12

4 9

(x^2+4x)(+9x+36)

x(x+4) 9 (x+4)

Final Answer: (x+9) (x+4)

4x^3= 2* 2*x*x*x

12x^2= 3*2*2*x*x

8x= 2*2*2*x

The GCF is: 4x

5v^5=5*v*v*v*v*v

10v^3=2*5*v*v*v

The GCF is: 5v^3

Grouping

(4n^3+8n^2) (-5n-10)

4n^2 (n+2) -5(n+2)

Final Answer:

(4n^2-5) (n+2)

5t^4+20t^3) (6t^+24)

5t^3(t+4) 6(t+4)

Final Answer: (5t^3+6) (t+4)

Split the Middle

y^2-9y+14

14

1 14

-2 -7

y(y-2) -7(y-2)

Final Answer: (y-7) (y-2)

DOTS

Use this method if the polynomial has 4-terms

Use this method if the polynomial has 2-terms

GCF

Learn more about creating dynamic, engaging presentations with Prezi