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the value of ‘a’ for which the polynomial a(x^3) – {under root(a^2 -18)}x + 10 represents a real and rational polynomial is -7 under root(29) under root(-29) all of these+

the value of ‘a’ for which the polynomial a(x^3) – {under root(a^2 -18)}x + 10 represents a real and rational polynomial is 
  1. -7
  2. under root(29)
  3. under root(-29)
  4. all of these+

Grade:12th pass

1 Answers

Vikas TU
14149 Points
5 years ago
 
a^2 -18 >=0
(a+ 3root2) (a – 3root2) >=0
thus range for a is,

a = 3root3.
which satisfies all the 3 options.
thus, all of these.

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