Question 1147344
<pre>
Use synthetic division to divide by x - 2

2 | 4   -19     a    -14
  |<u>       8   -22  2a-44</u> 
    4   -11  a-22  2a-58

       Remainder = 2a-58 = 0
                      2a = 58
                       a = 29

        Quotient = 4x²-11x+(a-22)
                 = 4x²-11x+(29-22)
                 = 4x²-11x+7
                 = (4x-7)(x-1)

            f(x) = (x-2)(4x-7)(x-1)

            x-2 = 0;  4x-7 = 0;   x-1 = 0
              x = 2;     x = 7/4;   x = 1

Edwin</pre>