(x² - 3x + 7) ÷ (x – i)

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?

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1 Answer

Synthetic division by i:

i | 1 -3       7 

    1  i   | -1-3i (add)

    1 i-3 |  6-3i (remainder). Quotient=x+i-3.

SOLUTION x+i-3 remainder 6-3i.

CHECK

(x-i)(x+i-3)+6-3i=x2+ix-3x-ix+1+3i+6-3i=x2-3x+7✔️

by Top Rated User (1.2m points)

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