(x² - 3x + 7) ÷ (x – i)

Question

The question is divide the following: (x² - 3x + 7) ÷ (x – i)

I believe this is suppose to by synthetic Division but I'm not sure how to use the i?

Answer 1

Solve by using synthetic division

Here the divisor is .

So,

Now take coefficients of the polynomial and the value of x as follows

Write zero under the coefficient of and add up to 1 and place at the down.

Now multiply the 1 with divisor and place under and add up to .

Repeat the process

                       (i^2= -1)

The quotient is , and remainder is .

The solution is