Question

Please help. Factor the polynomial function over the complex fraction.

Answer 1

Answer:

$(x + 2)(x + i\sqrt{5})(x - i\sqrt{5})$

Step-by-step explanation:

You are correct so far.

This is how you factor the binomial x^2 + 5 using complex factors.

$x^2 + 5 =$

$= x^2 - (-5)$

Now factor as a difference of squares: a^2 - b^2 = (a + b)(a - b).

$= (x + \sqrt{-5})(x - \sqrt{-5})$

$= (x + i\sqrt{5})(x - i\sqrt{5})$