Question

Find a when ay2-9y+4a is divided by 2y-1 is a remainder 5/6

Answer 1

P(y) = a y² - 9 y + 4 a 

Remainder when divided by (2 y - 1) = 5/6
=>  P(1/2) = 5/6
=> a / 4 - 9 /2 + 4 a = 5/6
=>  17 a / 4 = 32/6 = 16/3
=> a = 64/51