ANSWER :
The remainder is 130.5
EXPLANATION :
Note that the remainder when P(x) is divided by (x - a) can be obtain at P(a).
From the given problem,
[tex]P(x)=12x^3-10x^2-5x+18[/tex]
2x - 5,
Solve first the value of x by equating the divisor to 0.
2x - 5 = 0
2x = 5
x = 5/2 = 2.5
Substitute x = 2.5 to the function.
[tex]\begin{gathered} P(2.5)=12(2.5)^3-10(2.5)^2-5(2.5)+18 \\ P(2.5)=187.5-62.5-12.5+18 \\ P(2.5)=130.5 \end{gathered}[/tex]
