dividend ÷ divisor = quotient + remainder
∴ dividend = divisor(quotient) + remainder ... there is a reason why I am not multiplying the remainder by the divisor in this case... your remainder is not represent as a fraction with the divisor as the denominator..
[tex]f(x)=(x-2)(3x^2+8x-4)+9=3x^3+8 x^{2} -4x-6 x^{2} -16x+8+9[/tex]
[tex]f(x)=3x^3+2x^2-20x+17[/tex]
