Question

Which of the following is NOT a detergent? a) Sodium lauryl sulphate b) n-Hexyl trimethyl ammonium chloride c) Pentaerythrityl stearate d) Sodium butyrate

Answer 1

answer : option (d) sodium butrate

explanation :- actually, detergent is a surfactant or a mixture of surfactant with cleaning properties. it is likely similar to soap but more soluble in hard water. here, sodium lauryl sulphate , n - Hexyl trimethyl ammonium chloride , prnteaerythrityl stearate are best example of detergents.
but sodium butrate is nutrition source. it is rich source of dietary fibre.

hence, option (d) is correct option

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.