Factor the expression over the complex numbers. x2+36 enter your answer in the box.
the x2 is squared

Step-by-step explanation:

The given expression is

It's understood that this expression is equal to zero

Now, we isolate the variable and then apply a squared root to each side of the equation

At this point, you'll find that the equation doesn't have solution in the real numbers, that is, all solutions are in the complex numbers. We need to add the imaginary number to continue

Now, representing these solution as factors, we would have

Finally,

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form