jika f(x)=4x⁴-12x²-13x²-8x+a habis dibagi (2x-1) maka nilai a sama dengan ..

Semoga bermanfaat dan mudah dipahami

2x-1 = 0 ⇔ x =1/2
sehingga:
f(1/2) = 4(1/2)^4 - 12(1/2)^3 - 13(1/2)^2 - 8(1/2) + a
f(1/2) = 4((1/16) - 12(1/8) - 13(1/4) - 8(1/2) + a
f(1/2) = (1/4) - (3/2) - (13/4) - (8/2) + a
f(1/2) = (1/4) - (13/4)- (3/2)  - (8/2) + a
f(1/2) = (-12/4) - (11/2) + a
f(1/2) = -3 - (11/2) + a
karena f(x)=0 atau habis dibagi ⇔ -3 - (11/2) + a= 0 
a = 3+11/2
a = 17/2

semoga membantu