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RD Chapter 2 Polynomials Ex 2.1 Solutions

Question - 11 : - If α and β are the zeros of the quadratic polynomial f (x) = 6x4 + x – 2, find the value of  

Answer - 11 : -


Question - 12 : - If α and β are the zeros of the quadratic polynomial p(s) = 3s2 – 6s + 4, find the value of  

Answer - 12 : -


Question - 13 : - If the squared difference of the zeros of the quadratic polynomial f(x) = x2 + px + 45 is equal to 144, find the value of p

Answer - 13 : -


Question - 14 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 – px + q, prove that:

Answer - 14 : -


Question - 15 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 – p(x + 1) – c, show that (α + 1) (β + 1) = 1 – c.

Answer - 15 : -


Question - 16 : - If α and β are the zeros of the quadratic polynomial such that α + β = 24 and α – β = 8, find a quadratic polynomial having α and β as its zeros.

Answer - 16 : -


Question - 17 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 – 1, find a quadratic polynomial whose zeros are 2α/β and 2β/α

Answer - 17 : -


Question - 18 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 – 3x – 2, find a quadratic polynomial whose zeros are and  

Answer - 18 : -


Question - 19 : - If α and β are the zeroes of the polynomial f(x) = x2 + px + q, form a polynomial whose zeros are (α + β)2 and (α – β)2.

Answer - 19 : -


Question - 20 : -
If α and β are the zeros of the quadratic polynomial f(x) = x2 – 2x + 3, find a polynomial whose roots are :
(i) α + 2, β + 2
(ii)  

Answer - 20 : -


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