## Important Questions for Class 10 Maths Polynomials

- Find a quadratic polynomial, the sum of whose zeroes is 0 and one zero is 3
- What should be added to the polynomial x
^{2}-5x +4, so that 3 is the zero of resulting polynomial ?

3. Find the zeroes of the quadratic polynomial x^{2} + 7x + 12 and verify the relation between the zeroes and coefficients.

4. If 2 and ½ are zeroes of px^{2} + 5x + r, then find the values of p and r

5. Find the zeroes of x^{2} + 7x + 10 and verify the relationship between the zeroes and the co-efficients

- If a and b are the zeroes of the quadratic polynomial f(x) = x
^{2}– x – 2, find a polynomial whose zeroes are 2a+1 and 2b+1. - If a and b are the zeroes of the quadratic polynomial f(x) = 3x
^{2}-4x+1 , find a quadratic polynomial whose zeroes are a^{2}/b and b^{2}/a . - Find a quadratic polynomial whose zeroes are reciprocal of the zeroes of the polynomial f(x) =2x
^{2}-5x+7. - If 𝛼 𝑎𝑛𝑑 𝛽 are the zeroes of the quadratic polynomial f(x) = 6x
^{2}+x -2, find the value of 𝛼/𝛽 + 𝛽/𝛼 - If a and b are the zeroes of the quadratic polynomial such that a+b =24 and a-b =8 ,find a quadratic polynomial having a and b as its zeroes.
- If α and β are the zeroes of the polynomial f(x) = 2 x
^{2}+ 5 x + k satisfying the relation α^{2}+ β^{2}+α β. =21/4. Find the values of k for this to be possible.

- If α and β are the zeroes of the polynomial f(x) = kx
^{2}+ 4 x + 4 satisfying the relation α^{2}+ β^{2}= 24. Find the values of k. - If α and β are the zeroes of the polynomial f(x) = x
^{2}– 5x + k such that α- β = 1. Find the value of k. - If sum of the squares of the quadratic polynomial f(x) = x
^{2}-8 x + k is 40, find the values of k. - Find the zeroes of the polynomial
- Find a quadratic polynomial with zeroes 3 + 2 and 3 – 2
- If α and β are the zeroes of the polynomial f(x) = 4x
^{2}– 2 x +(k – 4 ) and α =1/β .Find the values of k. - If α and β are the zeroes of the polynomial f(x) = x
^{2}– 4x + 3, then form a quadratic polynomial whose zeroes are 3α and 3β - If α and β are the two zeroes of the polynomials 25 p
^{2}– 15 p + 2, find a quadratic polynomial whose zeroes are 1/2α and 1/2β - If α and β are the zeroes of the quadratic polynomial f(x) = x
^{2}+ x – 2 , find the value of 1/α -1/β.

**Direction for following Important Questions for Class 10 Maths Polynomials** **: **A statement of Assertion (A) is followed by a statement of Reason (R). Choose the correct option.

- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- Assertion (A) is true but Reason (R) is false.
- Assertion (A) is false but Reason (R) is true. 21. Assertion (A) : If the zeroes of the quadratic polynomial ( k – 1) x
^{2}+ kx + 1 is – 3, then the value of k is 4/3.

Reason ( R): If -1 is a zero of the polynomial p(x) = kx^{2} – 4x + k, then the value of k is – 2

- Assertion (A): If both zeroes of the quadratic polynomial x
^{2}– 2kx +2 are equal in magnitude but opposite in sign then value of k is ½

Reason ( R): Sum of zeroes of a quadratic polynomial ax^{2} + bx + c is –b/a.

Ncert Solutions Class 10 Maths Exercise 1.1 https://10thmathsguide.com/exercise-11-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 1.2

Ncert Solutions Class 10 Maths Exercise 2.1 https://10thmathsguide.com/exercise-21-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 2.2

Ncert Solutions Class 10 Maths Exercise 3.1 https://10thmathsguide.com/exercise-31-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.2 https://10thmathsguide.com/exercise-32-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 3.3 https://10thmathsguide.com/exercise-33-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.1 https://10thmathsguide.com/exercise-41-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.2 https://10thmathsguide.com/exercise-42-class-10-maths/

Ncert Solutions Class 10 Maths Exercise 4.3 https://10thmathsguide.com/exercise-43-class-10-maths/

MCQ VIDEOS ALL CHAPTERS CLASS 10 MATHShttps://www.youtube.com/watch?v=-eBlHyBxjLg&list=PL2uPMjJCHErQZZNipbsnagBqPrCU_WRN8

**MCQ Questions for Class 10 Maths all Chapters****https://sharmatutorial.in/category/mcq-class-10-maths/**

Important Questions for Class 10 Maths Polynomials

Important Questions for Class 10 Maths Polynomials