Question

Draw mirror images of glucose and fructose .

Answer 1

Sucrose is a disaccharide carbohydrate , that can be hydrolyzed to one mole of glucose and one mole of fructose.
e.g., 1 sucrose -----(H30^+,heat)----> 1 glucose + 1 fructose .

and we also know that glucose and fructose are chiral compounds so, it shows optical isomerism. D - sucrose is mirror image of L - sucrose here The notations D and L are used to describe the configuration of carbohydrates and amino acids.

similarly, D - fructose is mirror image of L - fructose as shown in figure.

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.