Given below are the Class 10 Maths Worksheet for Polynomials

a. cubic polynomials problems

b. quadratic polynomials Problems

c. Word Problems

a. cubic polynomials problems

b. quadratic polynomials Problems

c. Word Problems

Verify the 1/2 ,1, -2 are zeroes of cubic polynomial . Also verify the relationship between the zeroes and their coefficients.

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Question 2

p and q are zeroes of the quadratic polynomial . Find the value of k if

p and q are zeroes of the quadratic polynomial . Find the value of k if

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Question 3

m, n are zeroes of . Find the value of a and c if .

m, n are zeroes of . Find the value of a and c if .

Question 4

If a and b are zeroes of the , find the value of

If a and b are zeroes of the , find the value of

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Question 5

Find remainder when is divided by (x - a).

Find remainder when is divided by (x - a).

Question 6

If p and q are zeroes of , such that , find the value of k.

If p and q are zeroes of , such that , find the value of k.

Question 7

Given that two of the zeroes of the cubic polynomial are 0, then find the third zero.

Given that two of the zeroes of the cubic polynomial are 0, then find the third zero.

Question 8

If the zeroes of the quadratic polynomial are 2 and -3, then find the value of a and b.

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If one of the zeroes of the cubic polynomial is -1, then find the product of the other two zeroes.

Question 10

If a-b, a a+b , are zeroes of , then find the value of b

If a-b, a a+b , are zeroes of , then find the value of b

Question 11

Find a quadratic polynomial, the sum and product of whose zeroes are √2 and -3/2 respectively. Also, find its zeroes.

Find a quadratic polynomial, the sum and product of whose zeroes are √2 and -3/2 respectively. Also, find its zeroes.

Question 12

Given that the zeroes of the cubic polynomial are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Given that the zeroes of the cubic polynomial are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial.

Question 13

Check whether g(x) is a factor of f(x) by dividing f(x) by g(x):

, .

Check whether g(x) is a factor of f(x) by dividing f(x) by g(x):

, .

Question 14

Find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and the coefficients.

Find the zeroes of the quadratic polynomial and verify the relationship between the zeroes and the coefficients.

Question 15

If a and b are zeroes of the polynomial , find the value of .

If a and b are zeroes of the polynomial , find the value of .

Question 16

Quadratic polynomial has zeroes as p and q . Now form a quadratic polynomial whose zeroes are and

Quadratic polynomial has zeroes as p and q . Now form a quadratic polynomial whose zeroes are and

Question 17

If one zero of the polynomial is twice the other, find both the zeroes of the polynomial and the value of k.

If one zero of the polynomial is twice the other, find both the zeroes of the polynomial and the value of k.

Question 18

If m and n are the zeroes of the quadratic polynomial , then find the values of:

a.

b.

If m and n are the zeroes of the quadratic polynomial , then find the values of:

a.

b.

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Question 19

If the zeroes of the polynomial are in A. P., find the value of k.

If the zeroes of the polynomial are in A. P., find the value of k.

Question 20

Using division show that is a factor of .

Using division show that is a factor of .