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Factoring Strategies, 4 Terms - Coggle Diagram

- - - - Formula: We multiply the first and second term and we need to know the numbers that sum and multiplicate gives you the numbers.
        
        Examples:
        
        2x2-3x-2= 2x2 -4x+x-2 = 2x(x-2)+(x-2) (2x+1)(x-2)
        
        3m3-8m-3= ·m3-9+1-3= 3m(m-3)+(m-3)= (m-3)(3m+1)
  - - - a^2+2ab+b^2 Write both squares roots in abinomial squared
        
        Examples:
        
        x2-16x+64= (x-8)2
        
        m2+10m+25= (m+5)2
  - - - Formula: We put the coefficient that is x and the we put the 2 numbers that multiply give use the third terms and that added give us the second term
        
        Examples:
        
        x2+5x+6= (x+3) (x+2)
        
        x2-5x-6= (x-6) (x+1)
- - - - Characteristics: Two terms each one is a perfect square.
        
        Formula: Find the square root of both terms and write them as a product of two binomials.
        NOTE: The sum of squares cant be factored in.
        a^2-b^2= (a+b)(a-b)
        
        Examples:
        
        x2-64= (x+8) (x-8)
        
        100x2-9= (10x-3) (10x+3)
    - - Characterisitics: 2 terms, sum or difference, both terms are perfect cubes.
        
        Formula: Get the root square of the booth terms the in an other parentesis put the first one at square then multiply the first parentesis and for last we put at square. a^3+b^3= (a+b)(a^2+ab+b^2)
        
        Examples:
        
        x3+8= (x+2) (x2-2x+4)
        
        8a3-216b3= (2a-6b) (4a2+12ab+36b2)= (a-3)(a2+3a+a)
- - - - Examples:
        
        3n3-4n2+9n-12= n2(3n-4)+3(3n-4)= (3n-4) (n2+3)
        
        m3-m2+2m-2= m2(m-1)+2(m-1)= (m-1) (m2+2)
- - - - Examples
        
        4x2+8= 4(x2+2)
        
        15x+10y+25= 5(3x+2y+5)