tentukan nilai a sehingga 4x4-12x3+13x2-8x+a habis dibagi (2x-1) kemudian tentukan hasil baginya

[tex]4 {x}^{4} - 12 {x}^{3} + 13 {x}^{2} - 8x + a \\ 2x - 1 = 0 \\ x = \frac{1}{2} \\ 4( { \frac{1}{2}) }^{4} - 12( \frac{1}{2} ) {}^{3} + 13 {( \frac{1}{2} })^{2} - 8( \frac{1}{2} ) + a = 0 \\ 4( \frac{1}{16} ) - 12( \frac{1}{8} ) + 13( \frac{1}{4} ) - \frac{8}{2} + a = 0 \\ \frac{1}{4} - \frac{6}{4} + \frac{13}{4} - \frac{16}{4} + a = 0 \\ - 2 + a = 0 \\ a = 2[/tex]