How will you convert: (i) 3 — Nitrotoluene into 3 — Methylanilhie (ii) 3 — Methylaniline into 3 — Nitrotoluene.
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When 3-methylaniline treated with and hydrogen chloride , HCl it gets converted into chlorine complex. When that complex reacted with It gets converted into Barium Fluoride complex. This complex reacts with in presence of copper to give 3-Nitrotoluene.
reaction is shown in figure.
reaction is shown in figure.
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We know, p(x)=[g(x)×q(x)]+r(x)
∴p(x)−r(x)=g(x)×q(x)
∴p(x)+{−r(x)}=g(x)×q(x)
It is clear that RHS is divisible by g(x). ∴LHS is also divisible by g(x)
Thus, if we add −r(x) to p(x), then the resulting polynomial is divisible by g(x).
Let us divide p(x)=x
4
+2x
3
−2x
2
+x−1 by g(x)=x
2
+2x−3 to find the remainder r(x).
∴r(x)=−x+2⇒{−r(x)}=x−2
Hence, we should add (x−2) to p(x)=x
4
+2x
3
−2x
2
+x−1 so that the resulting polynomial is exactly divisible by x
2
+2x−3.
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