Question

Nilai m supaya 4x^4 - 12x^3 + mx^2 + 2 habis dibagi (2x-1) adalah..

Answer 1

Nilai m adalah:
4(1/2)^4 - 12(1/2)^3 + m(1/2)^2 + 2 = 0
1/4 - 6/4 + m/4 + 2 = 0
- 5/4 + 2 = - m/4
3/4 = m/4
m = 3

Answer 2

 4x^4 - 12x^3 + mx^2 + 2 habis dibagi (2x-1) 
f(1/2) = 0
 f(x) = 4x^4 - 12x^3 + mx^2 + 2 
 f(1/2) = 4(1/2)^4 - 12(1/2)^3 + m.(1/2)^2 + 2 
    0   = 4.(1/16) - 12.(1/8) + m.(1/4) + 2
    0  = 1/4 - 6/4 + (1/4).m + 2
    0  = 3/4 + (1/4).m
 (1/4).m = - 3/4
        m = (- 3/4).(4/1)
        m = - 3