Conditions for Polynomial

Q. Which of the following expressions is a polynomial?

1. $\sqrt{x}$
2. $\left(\frac{3}{4}\right)x$
3. $x^{3/4}$
4. $x^{-2}$

Q.

Give an example of a binomial of degree $8$

Q.

Identify the algebraic expression is polynomials. If so, write their degree.

$\frac{2}{3}{x}^2-\frac{5}{7}x-\frac{1}{4}$

Q. Question 1
Which of the following expressions are polynomials? Justify your answer.
I. $8$
II. $\sqrt{3}{x}^2-2x$
III. $1-\sqrt{5x}$
IV. $\frac{1}{5x^{-2}}+5x+7$
V. $\frac{(x-2)(x-4)}{x}$
VI. $\frac{1}{x+1}$
VII. $\frac{1}{7}{a}^3-\frac{2}{\sqrt{3}}{a}^2+4a-7$
VIII. $\frac{1}{2x}$

Q.

Identify the algebraic expression is polynomials. If so, write their degree .

$2-z^3+3xy+\frac{1}{2}{x}^4$

Q.

Point out which of the following expressions are polynomials? Justify your answer.

1. $6x^2-3x+1$

2. $x^3-x^2+2x-2$

3. $3x+\sqrt{x}-5$

4. $\frac{1}{x^2}+\frac{1}{x}-7$

5. $\sqrt{5}{x}^3+\frac{1}{3}x+4$

6. $\frac{3}{x^2}+6$

Q.

Identify algebraic expression is polynomial . if so, write their degree.

$\frac{2}{5}{x}^3-7x^2-\frac{1}{2}x+3$

Q.

Following algebraic expression is polynomial or not? If so, write the degree.

$\frac{2}{3}x+\frac{3}{2}-y$