Daily Question Contest #4 (notice)

Hello. Now I will announce the winners of the last contest.

WINNERS:

    Q1:​  1. Guest

            2. heureka

    Q2:  1. heureka

Good job guys/gals! Now for

                                                                DAILY QUESTION CONTEST #4

NOTICE: Someone in the last contest said that this is just basic algebra and people with average intelligence can solve it easily. Note that this tests people IF they have the average level of intelligence. 

Question:

Find "a" and "b" so that the rational function \(f(x)=\frac{(ax^4+bx^3+3)}{x^3-2}\)

has an oblique asymptote given by \(y=2x-3.\)

RULES/GUIDELINES:

1. A PERSON MAY ANSWER ONLY ONCE

2. FIRST 3 WILL BE RECOGNIZED AS WINNERS IN THE NEXT CONTEST

3. ANSWER REQUIRES SOLUTION

4. MOST NUMBER OF WINS AT THE END OF THE SEASON IS THE CHAMPION

GOOD LUCK AND MAY THE MATHS BE EVER IN YOUR FAVOR.