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

Question

its answare is m=0,1,3

Answer 1

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