Question

If \( -1 + i \) is a root of the equation \( x^4 + 4x^3 + 5x^2 + 2x - 2 = 0 \), then the real roots of this equation are

• A. \( -1 \pm \sqrt{3} \)
• B. \( -1 \pm \sqrt{2} \)
• C. \( \sqrt{2} \pm 3 \)
• D. \( \sqrt{3} \pm \sqrt{2} \)

Hint:

For real-coefficient polynomials, complex roots come in conjugate pairs. Divide by the quadratic factor formed by the complex roots to find the remaining factor.

Answer 1

The Correct Option is B