If 6x^4+8x^3-5x^2+ax+b is completely divisible by 2x^2-5 then find the value of a and b.
If you divide this by using long division, you will get a quotient of 3x2 + 4x + 5 and a remainder of (a + 20)x + (b + 25).
Therefore a = -20 and b = -25.