The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:(a) Factor f into the product of two irreducible quadratics. (Hint: Complete the square by adding and subtracting 2x2.) (b) Find the zeros of f by finding the zeros of each irreducible quadratic.

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.