Question

Jika f(x) = 4x^⁴ - 12x^³ + 13x^² - 8x + a habis dibagi (2x - 1), maka nilai a adalah ...

Answer 1

Verified answer

Jawab

suku banyak
f(x) = 4x⁴ - 12 x³ + 13 x² - 8x + a
habis dibagi (2x -1) =0
x = 1/2
f(1/2) =0
4(1/16) - 12(1/8) + 13 (1/4) -8(1/2) + a= 0
1/4  - 3/2 + 13/4 - 4 +  a = 0
1 - 6 + 13 - 16 + 4a = 0
-8 + 4a = 0
4a = 8
a = 2