Degree of Expression

Q.

Assertion : The degree of a non–zero constant polynomial is zero.
Reason : The degree of a zero polynomial is zero.

Which of the following is true?

1. Both A and R are true and R is the correct
   explanation of A.

2. Both A and R are true and R is not the
   correct explanation of A.

3. A is true and R is false.

4. A is false and R is true

Q.

$3a^{2}b$ and $–7b{a}^2$ are ________ terms.

Q.

State whether the statement given is True or False:

In like terms, variables and their powers are the same.

1. True
2. False

Q. What is the degree of the given algebraic expression
$xy+x^{2}y-x^2{y}^2?$

1. 1
2. 2
3. 3
4. 4

Q. Find the degree of the term: $24x^2{y}^2$

1. 2
2. 3
3. 4
4. 5

Q. What is the degree of the given trinomial?
$p^3-3p^2+3$

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

Q.

$-5a^2\mathrm{b}$ and $-5{\mathrm{b}}^2\mathrm{a}$ are _____ Terms

Q. Find the sum of degree of following expressions $2x^2+4y{z}^2+{\left(3xy\right)}^2,2x^3+3y^2+y^3{z}^{4}and3xy+y{x}^5+2y^5{x}^3$

1. 18
2. 11
3. 10
4. 19

Q.

Degree of the monomial '2abcy' is

1. 1

2. 2

3. 3

4. 4

Q.

Degree of the algebraic expression '$2$' is

1. 0

2. 1

3. 2

4. none of the above

Q. What is the degree of the term $-6x^2{y}^3{z}^4$?

1. 4
2. 7
3. 5
4. 9

Q. Find the degree of the following expression:
$3a^3{b}^4-16c^6+9b^2{c}^5+7$

1. 4
2. 3
3. 4
4. 7

Q.

Which of the following are like terms?

1. $5xy{z}^2$, $-3x{y}^{2}z$

2. $5xy{z}^2$, $5x^{2}yz$

3. $-5xy{z}^2$, $7xy{z}^2$

4. $5xy{z}^2$, $x^2{y}^2{z}^2$

Q.

Which of the following expressions are polynomials?
(i) $x^2+4$
(ii) $4-x^{-1}$
(iii) $2x^2-\frac{2}{x}$

1. i, ii, iii

2. iii

3. i

4. ii, iii

Q.

In a polynomial, the exponents of the variables are always:

1. Integers

2. Non - negative integers

3. Negative integers

4. Rational numbers

Q.

Group the like terms from the following algebraic terms:

$20y,20a^2,15q,-25s,25a,12z,y$

1. $20y,20a^2$

2. $20y,y$

3. $-25,25a$

4. $15q,12z$

Q.

Like terms are the terms that contain same variables, same exponents of variables and same coefficients.

1. True

2. False