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 , what is the value of a and b?

  1. a = 2, b = 1
  2. a = 2, b = 2
  3. a = 3, b = 3
  4. a = 3, b = 2

Answer (Detailed Solution Below)

Option 1 : a = 2, b = 1
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Detailed Solution

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Calculation:

Given:

      ___(1)

Now,

(x2 + x + 1) (x2 - x + 1) = (x2 + 1)2 - x2    [∵ (a + b) (a – b) = a2 – b2]

= x4 + 2x2 + 1 – x2 = x4 + x2 + 1

So, factors of x4 + x2 + 1 are (x2 + x + 1) (x2 - x + 1)

Compare with equation 1st,

∴ a = 2 and b = 1

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