Precalculus Examples

$f (x) = x (x + \sqrt{3}) (x - (1 - i)) (x - (1 + i))$

Step 1

Apply the distributive property.

$f (x) = x (x + \sqrt{3}) (x - 1 \cdot 1 + i) (x - (1 + i))$

Step 2

Multiply $- 1$ by $1$ .

$f (x) = x (x + \sqrt{3}) (x - 1 + i) (x - (1 + i))$

Step 3

Multiply $- 1$ by $- 1$ .

$f (x) = x (x + \sqrt{3}) (x - 1 + 1 i) (x - (1 + i))$

Step 4

Multiply $i$ by $1$ .

$f (x) = x (x + \sqrt{3}) (x - 1 + i) (x - (1 + i))$

Step 5

Apply the distributive property.

$f (x) = x (x + \sqrt{3}) (x - 1 + i) (x - 1 \cdot 1 - i)$

Step 6

Multiply $- 1$ by $1$ .

$f (x) = x (x + \sqrt{3}) (x - 1 + i) (x - 1 - i)$