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The factors of x4 + x2 + 25 are

This question belongs to Arithmetic Ability Algebra
Algebra
?

The factors of x4 + x2 + 25 are:

Answer & Solution
Correct Answer: Option B
x4 + x2 + 25
Check by the option,
(x2 - 3x + 5)(x2 - 3x + 5)
= x4 - 3x3 + 5x2 + 3x3 - 9x2 + 15x + 5x2 - 15x + 25
= x4 + x2 + 25

Other Method
Let the value of x = 1
then, x4 + x2 + 25 = 27
Now check options, and there is only one option that is equal to 27.
(1 + 3 + 5)(1 - 3 + 5) = 9 × 3 = 27
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