Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers.

Question

Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. 
x^4 + 20x^2 -44=0

Reiny · Answer

(x^2 + 22)(x^2 - 2)= 0 (x + √22i)(x - √22i)(x+√2)(x-√2) = 0 x = ± √22i or x = ± √2