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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!
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)
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
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
5n^2 +2n+7
23x^2 + 17y^2
By: Tripp Elson
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
(4n^3+8n^2) (-5n-10)
4n^2 (n+2) -5(n+2)
Final Answer:
(4n^2-5) (n+2)
y^2-9y+14
14
1 14
-2 -7
y(y-2) -7(y-2)
Final Answer: (y-7) (y-2)
Use this method if the polynomial has 4-terms
Use this method if the polynomial has 2-terms