Polynomial Expression

Q.

An algebraic expression containing three terms is called a

1. monomial

2. binomial

3. trinomial

4. all of these

Q. Which among the following is a polynomial?

1. $\sqrt{2}$$u^2+3v^2-\left(\frac{5}{2}\right)uv+2$
2. $u^2+3v^2-\left(\frac{5}{2}\right)u^{-2}v+2$
3. $u^2+3v^2-\left(\frac{5}{2}\right)u{v}^{-3}+2$
4. $\sqrt{2}{u}^2+3v^{-2}-\left(\frac{5}{2}\right)uv+2$

Q. Among which type of polynomial would $2x+3y$ belong to?

1. Monomial
2. Binomial
3. Trinomial
4. Not a Polynomial

Q. Which among the following is not a polynomial?

1. $7x^3-z^3+4y^3$
2. $7x^3-z^{\frac{1}{3}}+\frac{4}{y^3}$
3. $7-z^3+4y^6$
4. $7x^3-z^9+5y^3$

Q. $2x+7x$ is a binomial.

1. True
2. False

Q. Which among the following options is not a polynomial?

1. $2x^3+4x^3$
2. $5x^8+8x^5$
3. $7x^9+9x^{-\frac{7}{8}}$
4. $6x^4+4x^6$

Q. Which among the following is the smallest exponent possible in a polynomial?

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

Q. Alex's elder brother is $y$ years old, and Alex is $5$ years younger than his brother. What is the age of Alex?

1. $y+5$
2. $5-y$
3. $5y$
4. $y-5$

Q.

What are the terms in $5r-4s-2$?

Q. Jack drove $60$ miles in one hour. If he maintains his current speed, he will travel a distance of miles in $t$ hours.

Q. The distance between the Statue of Liberty and the Eiffel Tower is $‘‘d"$ miles on monday. The distance between them on friday would be miles.

Q.

Identify monomial, binomial, and trinomial from the following algebraic expression.

$-9$

Write constant terms.

Q.

State true or false :

$3xy\times ab$ is a trinomial

1. True
2. False

Q.

Write each of the following phrases using numbers, variables and basic operations:

The sum of $7$ and y

Q. The expression $7x+8$ contains

1. Only a constant term
2. Only a variable
3. Combination of a constant term and a variable
4. None of these

Q.

Write all the terms of the following algebraic expressions and identify the polynomial.

$\mathrm{x}+\mathrm{y}+{\mathrm{xy}}^2+\frac{2}{5}{\mathrm{y}}^3+\frac{3}{4}{\mathrm{y}}^5$

Q.

The highest exponent among the terms in a polynomial is called the of the polynomial.

1. constant
2. degree
3. coefficient

4. variable

Q.

Justify if the expression$\frac{1}{7}{a}^3+\frac{2}{\sqrt{3}}{a}^2+4a-7$ is polynomial.