Simplifying Polynomial by cancelling out Terms using Division

Q.

Choose the correct number of ways in which $15$different books can be divided into five heaps of an equal number of books

1. $\frac{15!}{\left[5!{\left(3!\right)}^5\right]}$

2. $\frac{15!}{{\left(3!\right)}^5}$

3. ${}^{15}C_5$

4. ${}^{15}P_5$

Q. Simplified form of the algebraic expression $\frac{5x}{3}-\frac{2x}{3}$ is

1. $x$
2. $2x$
3. $\frac{7x}{3}$

Q. If the given expression is a polynomial, find its degree.
$\frac{21x}{3x}+2$

1. The expression is not a polynomial and hence does not have a degree.
2. 1
3. 9
4. 0

Q. The degree of the expression $\dfrac{5x^3+2}{3x^{-2}$ is

Q.
If the area of above rectangle is $7y^3+4y,$ then the degree of length's expression is. (Given, $3y$ is Breadth)

Q. What is the degree of the expression $5x^3+\frac{4y^7}{y^2}+6?$

1. $7$
2. $5$
3. $3$
4. None of the above

Q. For the expression $\frac{4x^6+7x^4+5x^2}{x^n}$ to be polynomial, what could be the possible value(s) of '$n$' $(n\ge 0)?$

1. $0$
2. $1$
3. $2$
4. $3$