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Worksheets

POLYNOMIALS_CBSE 10 MATHS

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

How many zeroes are there for the polynomial shown in the given figure:

a)

1

b)

2

c)

0

d)

None of these

2.

3x3 +2 x can be best called as

a)

Cubic Polynomial

b)

Binomial

c)

Cubic binomial

d)

Cubic Polynomial

3.

The degree of a constant polynomial is :

a)

1

b)

2

c)

0

d)

None of these

4.

The degree of a zero polynomial is:

a)

1

b)

Not defined

c)

0

d)

None of these

5.

A polynomial is an algebraic expression if its variables powers are:

a)

Natural Numbers

b)

Real Numbers

c)

Whole Numbers

d)

None of these

6.

What does the type of polynomial that the curve in the given figure represent?

a)

Cubic Polynomial

b)

Quadratic Polynomial

c)

Biquadratic Polynomial

d)

None of these

7.

What are the zeroes of the polynomial of the given curve ?

a)

2, 0, -1

b)

-1, 0.5, 2

c)

-1, 0, -2

d)

None of these

8.

Which of the polynomial best describes the given curve ?

a)

2x2 - 3x3 -3x+2

b)

2x3 - 3x2 + 3x+2

c)

2x3 - 3x2 -3x+2

d)

None of these

9.

If (x + a) is a factor of 2x2 + 2ax + 5x + 10 find a.

a)

a = - 2

b)

a = 2

c)

a=5

d)

None of these

10.

The zeroes of the polynomial x2 – x – 6 are

a)

+3 , -2

b)

-3, -2

c)

+3, +2

d)

None of these

11.

Find the quadratic polynomial whose zeroes are –4 and 3

a)

x2 - 4 x +3

b)

x2 + x - 12

c)

x2 - x - 12

d)

None of these

12.

Dividing the polynomial x4 – 9 x2 + 9 by the polynomial x2 -3x, the quotient and remainder are:

a)

q(x) = x2 + 3 x and r(x) = 9

b)

q(x) = x3 + 3 x and r(x) = 9

c)

q(x) = x2 + 3 x and r(x) = - 9

d)

None of these

13.

Find a quadratic polynomial whose zeroes are 3 + √2 and 3 – √2.

a)

x2 - 6 x + 7

b)

x2 + 6 x + 7

c)

x2 - 6 x - 7

d)

None of these

14.

Find the zeroes of the quadratic polynomial 9 t2-6t + 1 and then find the sum and product of the zeroes

a)

zero1= 1/3 , zero2=1/3, so sum = (1/3) + (1/3) and product = (1/3) x (1/3)

b)

zero1= 1/3 , zero2=2/3, so sum = (1/3) + (2/3) and product = (1/3) x (2/3)

c)

zero1= 2/3 , zero2=2/3, so sum = (2/3) + (2/3) and product = (2/3) x (2/3)

d)

None of these

15.

When we find other zeroes of the polynomial p(x)= x4 – 7 x2 + 12 given that two of its zeroes are √3 and -√3, we need to divide p(x) by the factors involving zeroes. The quotient we obtain and the 2 zeroes are :

a)

x2 - 3 and other zeroes are √2 and -√2

b)

x2 - 4 and other zeroes are +2 and -2

c)

x2- 3 and other zeroes are √3 and -√3

d)

None of these

16.

If α (alpha)and β(beeta) are the zeroes of p(x)= x2 +6 x+9,then form a polynomial whose zeroes are-α (- alpha) and-β (-beeta)

a)

x2 +6 x - 9

b)

x2 +6 x + 9

c)

x2 - 6 x + 9

d)

None of these

17.

If the product of zeroes of the polynomial ax2 – 6x – 6 is 4, find the value of a. Find the sum of zeroes of the polynomial.

a)

a= -3/2 and sum of zeroes = + 4

b)

a= -3/2 and sum of zeroes = -4

c)

a= 3/2 and sum of zeroes = -4

d)

None of these

18.

The two zeroes of a polynomial is given below. Find that polynomial.

a)

25x2-30x-4

b)

25x2+30x+4

c)

25x2-30x+4

d)

None of these

19.

Which of the following are zeroes of P(x) = 2 x3 - 11 x2 + 17 x -6

a)

1/2, -3, 2

b)

2, 3, 1/2

c)

-2 , 1/2, 3

d)

None of these

20.

If P(x)=5x3 -3x2+7x+2, What is P(-1)?

a)

-13

b)

-11

c)

13

d)

None of these