Precalculus Examples

$(7 - 0.5 i) - (5 + 1.5 i)$

Step 1

Apply the distributive property.

$7 - 0.5 i - 1 \cdot 5 - (1.5 i)$

Step 2

Multiply $- 1$ by $5$ .

$7 - 0.5 i - 5 - (1.5 i)$

Step 3

Multiply $1.5$ by $- 1$ .

$7 - 0.5 i - 5 - 1.5 i$

Step 4

Subtract $5$ from $7$ .

$2 - 0.5 i - 1.5 i$

Step 5

Subtract $1.5 i$ from $- 0.5 i$ .

$2 - 2 i$

Step 6

Since the polynomial can not be factored, it is a prime polynomial.

Prime