Degree of the Polynomial

Q.

Give one example of a binomial of degree $35$.

Q. The highest power of the variable in a polynomial is called its

1. Constant
2. Coefficient
3. Degree
4. Variable

Q.

What is the degree of the given monomial $3mn$?

Q.

Write the degree of the polynomial $8x^2+5x+\sqrt{11}$.

Q.

The degree of the polynomial $2-8x^{0}y{z}^3+xy+4xyz$ is ___

Q.

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

$x^2-4x^{2}y+3xy$

Q.

The degree of the polynomial $a{c}^8+3a{b}^2{c}^5+21$ is

1. 8

2. 9

3. 5

4. 10

Q.

The degree of the polynomial $x^3+1-7x^8$ is

1. 11

2. 0

3. 8

4. 3

Q.

Find the degree of the following algebraic expressions : $15a^3{b}^2-10a^2{b}^2+9$

Q.

What is degree of polynomials?

Q.

Which of the following expressions are polynomials?

(i). $5x^2-7x+\frac{3}{2}$

(ii). $4a^2+\frac{7}{a}+5a$

(iii). $u^2+uv+3v^2$

1. only (iii)

2. (i), (ii), (iii)

3. (i), (iii)

4. (i), (ii)

Q. The index of any term of a polynomial must be a _____ number.

1. whole
2. integer
3. mixed
4. irrational

Q.

Degree of the algebraic expression $2a{b}^3$ is ___.

1. 2

2. 1

3. 3

4. 4

Q.

$x^2$ in $x^2+3x+2$ is its

1. term

2. factor

3. multiple
4. None of the above

Q.

Find the degrees of the following polynomials.

$79-a$

Q. Degree of the zero polynomial

1. 0
2. 1
3. any natural number
4. not defined

Q.

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

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

Q. Give reason: degree of the polynomial x²y+xy²+3x^2​y²=4

Q. Assertion: The expression $3x^4-4x^{\frac{3}{2}}+x^2$ is not a polynomial because the term $-4x^{\frac{3}{2}}$ contains a rational power of x.
Reason: The highest exponent in various terms of an algebraic expression in one variable is called its degree.
Which of the following is true?

1. Assertion is false and Reason is true
2. Both Assertion and Reason are true and the reason is the correct explanation for the assertion.
3. Both Assertion and Reason are true, but the reason is not the correct explanation for the assertion.
4. Assertion is true and Reason is false

Q.

Degree of a constant polynomial is _____.

1. 0

2. Any natural number.

3. 1

4. Not defined.

Q.

Find the degree of the polynomial -3x + 1.

1. None of the above
2. 0
3. 1.5
4. 1

Q. Justify the following statements with examples: a) We can have a trinomial having degree 7. b) The degree of a binomial cannot be more than two. c) There is only one term of degree one in a monomial. d) A cubic polynomial always has degree three.

Q. $\sqrt{3}$ is a polynomial of degree ___ .

1. $\frac{1}{3}$
2. 3
3. 0
4. 1

Q.

What is the degree of (x-1)?

1. 1

2. 3

3. 2

4. 4

Q.

What is the degree of 7x + 1?

1. 2

2. 1

3. 7

4. 0

Q. (i) Give an example of a binomial of degree 27.
(ii) Give an example of a monomial of degree 16.
(iii) Give an example of a trinomial of degree 3.

Q.

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

1. variable

2. degree
3. constant
4. coefficient

Q.

Which among the following polynomials has degree 3?

1. Linear Polynomial

2. Quadratic Polynomial

3. Cubic Polynomial

4. None of these

Q.

Write the degree of the polynomial $6-5x+x^2$.