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Different types of factoring
8
Transcript
Fabulous Factoring
Example
x^2 +9x +20
(x+ ) (x+ )
(x+4) (x+5)
( ax^2 +bx + c )
Look at the x^2 term. If it does not have a coefficient, then each of the binomial factors will just have an x term, like such: (x + )(x + ).
Look at the constant (or c) in the equation, and determine each set of factors.
Factoring by grouping
GCF
Special Products
Example : 16x^2 – 12x . Factor
Determine the GCF .... 4x
Factor out (or divide) the GCF from each term .
Answer
4x(4x-3)
- create a smaller groups within in the problem
- Factor out the GCF
- Determine if any of the remaining factors can be factored out
Greatest Common Factor
Example
x^3 -5x^2 +3x-15
Two terms that are squared and separated by a subtraction sign
Example
x^3 -5x^2 +3x-15
(x-2)(x+2)
x^2+2x-2x-4
x^2-4
x^2(x-5)+ 3(x-5)
Answer: (x-5)(x^2+5)
Or
(x^2+3)(x-5)
- Determine the greatest common factor of the given terms. The greatest common factor or GCF is the largest factor that all terms have in common. Do not confuse the GCF with the Least Common Denominator (LCD) which is the smallest expression that all terms go into, rather than the greatest number the terms have in common.
- Factor out (or divide out) the greatest common factor from each term
Factoring
By: Glenderia Robinson
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