11. What will be the remainder, if we divide (x - y)2 - 4(x - y) – 45 by (x - y - 9)?
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Answer:
Quotient =(2x−5)& Remainder =0
(14x
2
−53x+45)÷(7x−9)
⇒
7x−9
14x
2
−53x+45
=
7x−9
14x
2
−18x−35x+45
=
7x−9
(7x−9)(2x−5)
=2x−5
Therefore, (14x
2
−53x+45) is completely divisible by (7x−9).
SOLUTION
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