The division algorithm is (y+6)(y-2) +(-2).
When A and B are two expressions or numbers and Q and R are quotient and remainder respectively where r is always less than the divisor
The answer can be written in the form of
Q*D +R
The given expression is
[tex]\rm \dfrac{y^2 +4y-14}{y-2}[/tex]
on dividing
Quotient Q = y+6
Remainder = -2
So it can be written as
(y+6)(y-2) +(-2)
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