Use synthetic division to divide (x^ 3 + x^ 2 – 40x – 4) ÷ (x – 6)

For this case we must build a quotient that, when multiplied by the divisor, eliminates the terms of the dividend until reaching the remainder.
It must be fulfilled that:
Dividend = Quotient * Divider + Remainder
Looking at the attached image we have that the quotient is given by:
[tex]x ^ 2 + 7x + 2[/tex]
Answer:
Option C