Question

find the value of a when ay²-9y+4a is divided by 2y-1 gives the remainder 5/6​

Answer 1

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Step-by-step explanation:

P(y) = ay2-9y+4a

When P(y) is divided by 2y-1 it leaves a remainder 5/6, So

P(1/2) = 5/6 ( 2y-1=0, 2y=1, y=1/2 )

P(1/2) = 1/4a - 9/2 + 4a = 5/6

1/4a - 9/2 + 4a = 5/6

17/4a = 32/6 = 16/3

a = 16/3 * 4/17 = 64/51