Answer:
The remainder is 24
Step-by-step explanation:
[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]
[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]
[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]
Therefore, the remainder is 24.
