Question

Write the structures of all possible dipeptides which can be obtained from glycine and alanine.

Answer 1

The reaction between two molecules of similar or different amino acids , proceeds through combination of the amino group of one molecule with carboxyl group of the other. this results in the elimination of a water molecule and formation of a peptide bond -CO-NH- . the product of the reaction is called dipeptide.

now come to the question,
when carboxyl group of glycine combines with the amino group of alanine we get a dipeptide, glycylalanine.
see below figure, here clearly shown structure of dipeptide formed by glycine and alanine .

Answer 2

Answer:

ANSWER

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.