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RD Chapter 2- Polynomials Ex-2.2 Interview Questions Answers

Question 1 :
Verify that numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients in each case :
(i) f(x) = 2x3 – x2 – 5x + 2 ; 1/2 , 1, -2
(ii) g(x) = x3 – 4x2 + 5x – 2 ; 2, 1, 1

Answer 1 :


Question 2 : Find a cubic polynomial with the sum, sum of product of its zeros taken two at a time and product of its zeros as 3, -1 and -3 respectively.

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Question 3 : If the zeros of the polynomial f(x) = 2x3 – 15x2 + 37x – 30 are in AP. Find them.

Answer 3 :


Question 4 : Find the condition that the zeros of the polynomial f(x) = x3 + 3px2 + 3qx + r may be in AP.

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Question 5 : If the zeros of the polynomial f(x) = ax3 + 3bx2 + 3cx + d are in A.P., prove that 2b3 – 3abc + a2d = 0.

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Question 6 : If the zeros of the polynomial f(x) = x3 – 12x2 + 39x + k are in AP, find the value of k.

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RD Chapter 2- Polynomials Ex-2.2 Contributors