Class 10 Practice – Level 1 – Polynomials

Total questions: 40

What is the degree of the polynomials $ \displaystyle 2{{x}^{3}}+4{{x}^{2}}-7x+5$ ?

Topic: Degree of a polynomial

None

Which of the following is a linear polynomial?

Topic: Types of polynomials

$ \displaystyle {{x}^{2}}+3x+4$

$ \displaystyle 2x+7$

$ \displaystyle 4{{x}^{3}}-3x+1$

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

None

Find the value of the polynomial $ \displaystyle 3{{x}^{2}}+2x-5\text{ at }x=2$

Topic: Value of polynomial

None

Which of the following is the standard form of a cubic polynomial ?

Topic: Standard form of Polynomial

$ \displaystyle a{{x}^{2}}+bx+c$

$ \displaystyle a{{x}^{3}}+b{{x}^{2}}-cx+d$

$ \displaystyle ax+b$

$ \displaystyle a+bx+c{{x}^{2}}$

None

if $ \displaystyle p\left( x \right)=2{{x}^{2}}+3x-4\text{ and }q\left( x \right)={{x}^{2}}-x+1,\text{ what is }p\left( x \right)+\text{ }q\left( x \right)?$

Topic: Addition of polynomials

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

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

$ \displaystyle 3{{x}^{2}}+4x-3$

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

None

What is the product of $ \displaystyle x+2\text{ and }x-3$ ?

Topic: Multiplication of polynomial

$ \displaystyle {{x}^{2}}+x-6$

$ \displaystyle {{x}^{2}}-5x-6$

$ \displaystyle {{x}^{2}}-x-6$

$ \displaystyle {{x}^{2}}-x+6$

None

What is the coefficient of $ \displaystyle {{x}^{2}}$ in the polynomial $ \displaystyle 3{{x}^{3}}-5{{x}^{2}}+2x-1$

Topic: Coefficient of a polynomial

-5

None

Factorize the polynomial $ \displaystyle {{x}^{2}}-9$ .

Topic: Factorization of polynomial

$ \displaystyle \left( {x-3} \right)\left( {x-3} \right)$

$ \displaystyle \left( {x-1} \right)\left( {x+9} \right)$

$ \displaystyle \left( {x-9} \right)\left( {x+1} \right)$

$ \displaystyle \left( {x-3} \right)\left( {x+3} \right)\text{ }$

None

Which of the following expressions is not a polynomial?

Topic: Identifying polynomial

$ \displaystyle {{x}^{2}}+3x+5$

$ \displaystyle 4{{x}^{{-2}}}+7$

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

$ \displaystyle 2{{x}^{4}}+{{x}^{3}}-x+1$

None

10.

If both the zeroes of a quadratic polynomial $ \displaystyle a{{x}^{2}}+bx+c$ are equal and opposite in sign, find b?

Topic: Zeros of polynomial

-2

None

11.

What is zero of the polynomial x - 4 ?

Topic: Zeros of polynomial

-4

None

12.

What is the remainder when the polynomial $ \displaystyle 2{{x}^{2}}-3x+4$ is divided by x - 1 ?

Topic: Polynomial Division

None

13.

What is the constant term in the polynomial $ \displaystyle 4{{x}^{3}}-5{{x}^{2}}+6x-7$ ?

Topic: Constant Term

-7

-5

None

14.

Find the value of the polynomial $\displaystyle {{x}^{2}}-2x+1\text{ at }x=3$ .

Topic: Value of polynomial

None

15.

Which of the following is a quadratic polynomial ?

Topic: Identifying polynomial

$ \displaystyle {{x}^{2}}+2x+3$

$ \displaystyle {{x}^{3}}+2x+1$

$ \displaystyle 2x+5$

$ \displaystyle 2{{x}^{3}}+4{{x}^{2}}-7x+5$

None

16.

In the polynomial $ \displaystyle 5{{x}^{4}}-3{{x}^{3}}+7$ , what is the coefficient of $ \displaystyle {{x}^{3}}$ ?

Topic: Coefficient of a polynomial

-3

None

17.

What is the degree of the polynomial $ \displaystyle 4{{x}^{4}}-{{x}^{2}}+3$ ?

Topic: Degree of a polynomial

None

18.

Factorize the polynomial $ \displaystyle {{x}^{2}}-4x$ .

Topic: Factorization of polynomial

$ \displaystyle x\left( {x-4} \right)$

$ \displaystyle \left( {x-2} \right)\left( {x-2} \right)\text{ }$

$ \displaystyle \left( {x+2} \right)\left( {x-2} \right)\text{ }$

$ \displaystyle x\left( {x+4} \right)$

None

19.

What is the sum of $ \displaystyle 2{{x}^{2}}+3x\text{ and }{{x}^{2}}-2x+1$ ?

Topic: Polynomial Operations

$ \displaystyle 3{{x}^{2}}+x+1$

$ \displaystyle {{x}^{2}}+x-1$

$ \displaystyle {{x}^{2}}+x+1$

$ \displaystyle 3{{x}^{2}}+2x-1$

None

20.

Which of the following is the correct representation of a cubic polynomial?

Topic: Polynomial Representation

$ \displaystyle {{x}^{3}}+2{{x}^{2}}-3x+5$

$ \displaystyle {{x}^{2}}+4x+4$

$ \displaystyle 2x+7$

$ \displaystyle x+5$

None

21.

The polynomial $ \displaystyle {{x}^{2}}-16$ has zeros at:

Topic: Identifying zeros of polynomial

x = 4, -4

x= 16, -16

x = 2,-2

x = 8 , - 8

None

22.

What is the value of the polynomial $ \displaystyle {{x}^{3}}-3x+2\text{ at }x=1$ ?

Topic: Value of polynomial

-1

None

23.

What is the degree of the polynomial $ \displaystyle 7{{x}^{5}}-4{{x}^{3}}+{{x}^{2}}-2x+1$ ?

Topic: Degree of a polynomial

None

24.

Which of the following is a quadratic polynomial?

Topic: Types of polynomials

$ \displaystyle {{x}^{2}}+2x+3$

$ \displaystyle {{x}^{3}}-3x+1$

$ \displaystyle {x+5}$

$ \displaystyle {{x}^{4}}-{{x}^{2}}-2$

None

25.

Which of the following expressions is not a polynomial?

Topic: Identifying polynomial

$ \displaystyle {{x}^{2}}+\frac{1}{x}$

$ \displaystyle {{x}^{3}}+2x+1$

$ \displaystyle 2x+3$

$ \displaystyle {{x}^{2}}-4x+4$

None

26.

The zero of the polynomial $ \displaystyle {{x}^{2}}-4x+4$ are:

Topic: Zeros of polynomial

2, 2

4, 0

4,-4

2, -2

None

27.

What is the remainder when the polynomial $ \displaystyle {{x}^{3}}-4{{x}^{2}}+6x-4$ is divided by x- 2?

Topic: Polynomial Division

-2

None

28.

Which of the following is a cubic polynomial?

Topic: Identifying polynomial

$ \displaystyle {{x}^{3}}+2{{x}^{2}}-x+1$

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

$ \displaystyle x+1$

$ \displaystyle {{x}^{4}}-{{x}^{2}}+1$

None

29.

In the polynomial $ \displaystyle 5{{x}^{3}}-4{{x}^{2}}+x-7$ , what is the coefficient of $ \displaystyle {{x}^{2}}$ ?

Topic: Coefficient of a polynomial

-4

-7

None

30.

Factorize the polynomial $ \displaystyle {{x}^{2}}+5x+6$ .

Topic: Factorization of polynomial

(x + 1)(x + 6)

(x + 1)(x - 1)

(x - 2)(x - 3)

(x + 2)(x + 3)

None

31.

The polynomial $ \displaystyle {{x}^{2}}-5x+6$ has zeros at :

Topic: Identifying zeros of polynomial

3, -2

2, -3

2, 3

-2, -3

None

32.

What is the degree of the polynomial $ \displaystyle 4{{x}^{5}}+{{x}^{4}}-3x+2$ ?

Topic: Degree of a polynomial

None

33.

If $ \displaystyle p\left( x \right)={{x}^{2}}+2x+3\text{ and }q\left( x \right)=2{{x}^{2}}-x+1,\text{ what is }p\left( x \right)+\text{ }q\left( x \right)?$

Topic: Addition of polynomials

$ \displaystyle 3{{x}^{2}}+x+2$

$ \displaystyle 3{{x}^{2}}+x+4$

$ \displaystyle {{x}^{2}}+3x+4$

$ \displaystyle 3{{x}^{2}}+3x+6$

None

34.

What is the remainder when the polynomial $ \displaystyle {{x}^{2}}-3x+2$ is divided by x - 1?

Topic: Polynomial Division

-1

None

35.

Which of the following is a linear polynomial?

Topic: Types of polynomials

x + 7

$ \displaystyle {{x}^{2}}+3x+1$

$ \displaystyle {{x}^{2}}-x+1$

$ \displaystyle {{x}^{2}}+3x+2$

None

36.

The polynomial $ \displaystyle {{x}^{2}}-9x+20$ has zeros at :

Topic: Zeros of polynomial

-4, 5

3, 7

5, 4

4, 5

None

37.

Which of the following expressions is not a polynomial?

Topic: Identifying polynomial

$ \displaystyle 2{{x}^{2}}+3x+1$

$ \displaystyle {{x}^{3}}+3{{x}^{2}}+7$

$ \displaystyle {{x}^{2}}-\frac{1}{x}+2$

$ \displaystyle {{x}^{4}}-2{{x}^{3}}+5x$

None

38.

Factorize the polynomial $ \displaystyle {{x}^{2}}-7x+10$

Topic: Factorization of polynomial

(x - 5)(x - 2)

(x - 3)(x - 4)

(x- 2)(x - 7)

(x - 1)(x - 10)

None

39.

Find the value of the polynomial $ \displaystyle {{x}^{2}}-3x+2\text{ at }x=4$

Topic: Value of polynomial

None

40.

In the polynomial $\displaystyle 7{{x}^{3}}-4{{x}^{2}}+2x-1$, what is the coefficient of x ?

Topic: Coefficient of a polynomial

-4

-1

None

1 out of 40

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Class 10 Practice – Level 1 – Polynomials

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