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CBSE - Class 10 Mathematics Polynomials Worksheet

1.
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(v) $t^2 - 15$
2.

If the polynomial f(x)=ax3 + bx - c is divisible by g(x)=x2 + bx + c then value of c is equal to?

a.

b

b.

2b

c.

d.

-2b

3.

Find the remainder when y+ 4y- 3y + 10 is divided by y+4?

4.

If the sum of the zeroes of the polynomial  is 6, then the value of k is 

a.

2

b.

4

c.

-2

d.

-4

5.

If p(x) = x + 3 then p(x) + p(-x) is equal to ______

6.

Find the zeroes of the 6x2 – 3 – 7x?

7.

If x5 + 2x4 + x + 6 is divided by g(x), and quotient is x² + 5x + 7, then the possible degree of g(x) is

a.

4

b.

3

c.

2

d.

5

8.

 What is the number of zeroes that a linear poly-nomial has/have:

a.

0

b.

1

c.

2

d.

3

9.
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(vi) $3x^2 - x - 4$
10.

If k is the zero of a quadratic polynomial, there exists only one value for k.

a. True b. False
11.

The degree of the polynomial (3x−2)(2x2+x+5) is:

a.

2

b.

3

c.

4

d.

5

12.

If the polynomial  is divisible by the polynomial   then ab=

a.

1

b.

c.

-1

d.

13.

Find a quadratic polynomial, the sum and product of whose zeroes are -7 and -2?

14.

Find the zeroes of the 4s2 – 4s + 1?

15.

 If x4 + 3x² + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are:

a.

3,0

b.

4,1

c.

3,1

d.

4,0

16.

If the polynomial f(x)=ax3 + bx - c is divisible by g(x)=x2 + bx + c then value of ab=

a.

1

b.

1/c

c.

-1

d.

-1/c

17.

The value of 2492 - 2482 is ________

18.

One of the zeroes of the polynomial 2x+ 7x - 4 is____

19.

What should be added to the polynomial , so that 3 is the zero of the resulting polynomial?

a.

1

b.

2

c.

4

d.

5

20.

If one of the zeros of the quadratic polynomial  is -3, then the value of k is

a.

b.

c.

d.

Worksheet Answers

2.
Option B

3.

22

4.
Option B

5.

6

6.

- 1/3 & 3/2

7.
Option B
8.
Option B
10.
Option B
11.
Option B
12.
Option A

13.

x+ 7x - 2

14.

1/2 & 1/2

15.
Option A
16.
Option A

17.

497

18.

1/2

19.
Option B
20.
Option A

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