Polynomial Expression

Q. The degree of each term in a polynomial expression should always be a/an?

1. fraction
2. integer
3. whole Number
4. natural Number

Q. For a polynomial expression, all the exponents have to be whole numbers. They cannot be negative integers.

1. False
2. True

Q.

$(a+2b+3c+10)$is a

1. monomial

2. binomial

3. trinomial

4. polynomial

Q.

Area of a square is $169sq.cm.$ Then its perimeter is $52cm.$

1. True
2. False

Q.

Find the perimeter and area of the following squares with side $2.8$ m

Q. Which among the following correctly represents a polynomial expression and polynomial equation in the variable $x$?

1. Polynomial Expression $=10+9m$
   Polynomial Equation:
   $7+8m=15$
2. Polynomial Expression $=15+16x$
   Polynomial Equation:
   $8+9y=7$
3. Polynomial Expression $=2x+3$
   Polynomial Equation:
   $4x+9=36$
4. Polynomial Expression $=5x+1$
   Polynomial Equation:
   $9p+3=17$

Q. The algebraic expression $5x^3+3xy+2x^{2}y+3x+9y$ is a expression.

1. Binomial
2. Trinomial
3. Monomial
4. Polynomial

Q.

How do you write the quadratic function in standard form $y=4{(x-1)}^2+5$?

Q. In the polynomial expression, the smallest degree among all the degrees of all the monomials is the degree of polynomial expression.

1. True
2. False

Q. Degree of the polynomial expression $5x^3+3x+2x^4+5$ is

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

Q. Is the given expression a polynomial?
$\frac{3}{7}{x}^2+4xy+2y^2$

1. Yes
2. No
3. Can't be determined

Q. If the side of a square is $m$, find an expression for the perimeter and area of the square.

1. Perimeter $=m$
   Area $=m^2$
2. Perimeter $=2m$
   Area $=m^2$
3. Perimeter $=3m$
   Area $=m^2$
4. Perimeter $=4m$
   Area $=m^2$

Q. Match the following monomial expressions with their corresponding degree.

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

Q. Identify the expression is a polynomial or not.
$7x^3-z^{\frac{1}{3}}+\frac{4}{y^3}$

1. It is a polynomial expression.
2. It is not a polynomial expression.

Q. is a polynomial expression.

1. $x+\frac{1}{x}$
2. $x^2+\sqrt{x}$
3. $x^2+\sqrt{2}x$

Q. Match the following.

1. $y^3$
2. $4x$
3. $20$
4. $xy$

Q. Identify the expression is a polynomial or not.
$2.5a+5b^2-63c^{-2}+4$

1. It is a polynomial expression.
2. It is not a polynomial expression.

Q.

Which of the following expressions is polynomial?

1. $1-\sqrt{5x}$

2. $\frac{(x-2)(x-4)}{x}$

3. $\frac{1}{x+1}$

4. $\frac{1}{7}{a}^3-\frac{2}{\sqrt{3}}{a}^2+4a-7$

Q. If the values of $x,y\&z$ are $2,3\&4$ respectively, then the value of $P=3x^3-2y^2+5z$ is

1. 26
2. 20
3. 36

Q.

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

$-7x^3{y}^3{z}^3$

Write constant terms.

Q. The length of the rectangle is $2m-1$ and the breadth of the rectangle is $7m-9$. Find the expression for the perimeter of the rectangle.

1. $9m-10$
2. $18m-20$
3. $(2m-1)(7m-9)$
4. None of these

Q.

Find the degrees of the following polynomials.

$12x^2+7x+1$

Q. Identify the type of the following algebraic expressions :

S.No.	Algebraic Expression	Type
1	20
2	xy + 5
3	4 - x + y -xy
4	7x + 3x
5	a + b + ab
6	k

Q.

The expression $3x^{2}y+4$ is

1. monomial

2. binomial

3. trinomial

4. none of these