Conditions for Polynomial

Q.

Write the general from of the linear polynomial and cubic polynomial.

Q.

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

$x^{2}y-2x{y}^2+\frac{2}{3}x-1,$

Q.

Which of the following is a polynomial in 1 variable?

1. 4x + 2

2. $\frac{1}{(x+1)}$

3. x + y

4. 4x + 2 = 0

Q. P(x) = 4xy
Choose the correct option(s)

1. p(x) is a polynomial in one variable
2. p(x) is a polynomial in two variables.
3. p(x) is not a polynomial
4. Cannot be determined

Q.

Which of the following is not a polynomial?

1. $x+\sqrt{3}$

2. $x$

3. $\sqrt[3]{3y}+y^2$

4. $x+x^2$

Q.

Identify the algebraic expression is polynomial. If so write their degree.

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

Q. Which of the following expressions is a polynomial in one variable?

1. $2x^4+4x^{3/2}+2$
2. $\pi x^3+3x^2+9$
3. $x^{\pi }+x^{-2}$
4. $3x^2+4xy+\sqrt{2}$