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how solve (m^2-4m+3)

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1 Answer

m2-4m+3 = 0
 
First Factor the Trinomial:  m2-4m+3 
Trinomials have 3 terms. The 3 terms of this trinomial are: m2, -4m, and +3.
Trinomials are formed by multiplying 2 binomials together. Binomials have 2 terms.
1.  (      )(      )
 
2. Factor the first term m2 = m x m 
    (m   )(m    )
 
3. The coefficient of the second term -4m, is -4
    formed by adding the factors of the third term.
 
4. The third term +3 has the factors 1, 3   or -1, -3.
    The pair of factors which add to give -4, is -1,-3
 
5. This gives the factors:
    (m - 1 )(m - 3)
 
Solve the Trinomial
To solve this trinomial we must let it be = 0
    m2-4m+3      = 0  
   (m - 1 )(m - 3)= 0
 
 If (m - 1 )(m - 3)= 0    then at least 1 factor must be 0
 Taking the first factor (m - 1):
  if m-1 =  0
     m-1 =  0
       +1 =+1
        m = 1
 
  if m-3 = 0
     m-3 = 0
       +3 =+3
        m = 3
 
  The solution to the problem: m = 1, 3    NOT m = 0