1.

Find the remainder when `x^(2) -8x +6` is divided by `2x -1`

Answer» Let `q(x) = x^(2) -8x +6`
`:.` Remainder `= q ((1)/(2))`
i.e., `q((1)/(2)) = ((1)/(2))^(2) -8 ((1)/(2)) + 6`
`= (1)/(4) - 4 + 6 = (1)/(4) +2`
`:. q((1)/(2)) = (9)/(4)`


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