Important Questions for CBSE Class 10 Maths Chapter 2 - Polynomials 2 Mark Question


CBSE Class 10 Maths Chapter-2 Polynomials – Free PDF Download

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CBSE Class 10 Maths Chapter-2 Polynomials Important Questions

CBSE Class 10 Maths Important Questions Chapter 2 – Polynomials


2 Mark Questions

1. Find the quadratic polynomial where sum and product of the zeros are a and .
Ans. Polynomial 


2. If and are the zeros of the quadratic polynomial find the value of +
Ans. 


3. If the square of the difference of the zeros of the quadratic polynomial f(x) = x2+ px +45 is equal to 144, find the value of p.
Ans. 


4. Divide by 
Ans.


5. Find the value of ‘k’ such that the quadratic polynomial x– (k + 6) x + 2 (2k +1) has sum of the zeros is half of their product.
Ans. Sum of the zeros = 


6. If and are the zeros of the quadratic polynomial f(x) = x– p (x + 1) – c, show that (+1) (+1) = 1 – c.
Ans.


7. If the sum of the zeros of the quadratic polynomial f (t) = kt+ 2t + 3k is equal to their product, find the value of ‘k’.
Ans.


8. Divide (x4 – 5x + 6) by (2 – x2).
Ans.

Quotient = 
Remainder = -5x + 10


9. Find the zeros of the polynomial p(x) = 4x+ 5x – 2 and verify the relationship between the zeros and its coefficients.
Ans. 



10. Find the value of ‘k’ so that the zeros of the quadratic polynomial 3x– kx + 14 are in the ratio 7:6.
Ans. Let the zeros are 7p and 6p.


11. If one zero of the quadratic polynomial f(x) = 4x– 8kx – 9 is negative of the other, find the value of ‘k’.
Ans. 


12. Check whether the polynomial (t– 3) is a factor of the polynomial 2t+ 3t– 2t– 9t – 12 by Division method.
Ans.