đặt
\(f\left(x\right)=6x^3-2x^2-ax-2\)
\(g\left(x\right)=2x-3\)
để \(f\left(x\right)⋮g\left(x\right)\)
thì f(x) =0 với nghiệm của g(x)
\(\Rightarrow f\left(\dfrac{3}{2}\right)=6.\left(\dfrac{3}{2}\right)^3-2.\left(\dfrac{3}{2}\right)^2-a\left(\dfrac{3}{2}\right)-2=0\\ \Leftrightarrow\dfrac{81}{4}-\dfrac{9}{2}-\dfrac{3a}{2}-2=0\\ \Leftrightarrow\dfrac{3a}{2}=-\dfrac{55}{4}\\ \Rightarrow a=-\dfrac{55}{6}\)