The factors of `x^4+x^2+25` are (a)`(x^2+3x+5)(x^2-3x+5)` (b)`(x^2+3x+5)(x^2+3x-5)` (c)`(x^2+x+5)(x^2-x+5)` (d) none of these

Explanation

To factor the expression \( x^4 + x^2 + 25 \), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ x^4 + x^2 + 25 \]
Notice that we can treat \( x^4 \) as \( (x^2)^2 \) and \( x^2 \) as \( (x^2) \). This suggests a substitution might be useful. Let \( y = x^2 \). Then, we can rewrite the expression as:
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