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RD Chapter 2 Polynomials Ex 2.1 Solutions

Question - 1 : - Find the zeros of each of the following quadratic polynomials and verify the relationship between the zeros and their co-efficients :

Answer - 1 : - (i) f(x) = x2 – 2x – 8

Question - 2 : - For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also, find the zeroes of these polynomials by factorization.

Answer - 2 : -

(i) Given that, sum of zeroes (S) = – 8/3
and product of zeroes (P) = 4/3
Required quadratic expression,

Question - 3 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 – 5x + 4, find the value of  .

Answer - 3 : -


Question - 4 : - If α and β are the zeros of the quadratic polynomial p(y) = 5y2 – 7y + 1, find the value of  

Answer - 4 : -


Question - 5 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 – x – 4, find the value of  

Answer - 5 : -


Question - 6 : - If α and β are the zeros of the quadratic polynomial f(x) = x2 + x – 2, find the value of  

Answer - 6 : -


Question - 7 : - If one zero of the quadratic polynomial f(x) = 4x2 – 8kx – 9 is negative of the other, find the value of k.

Answer - 7 : -


Question - 8 : - If the sum of the zeros of the quadratic polynomial f(t) = kt2 + 2t + 3k is equal to their product, find the value of k.

Answer - 8 : -


Question - 9 : - If α and β are the zeros of the quadratic polynomial p(x) = 4x2 – 5x – 1, find the value of α2β + αβ2.

Answer - 9 : -


Question - 10 : - If α and β are the zeros of the quadratic polynomial f(t) = t2 – 4t + 3, find the value of α4β3 + α3β4.

Answer - 10 : -


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