Question

Jorge wants to divide 3x2 – x – 2 by x + 4 using synthetic division. which shows the correct process?

Answer 1

> Using the remainder theorem, set x + 4 to be equal to 0, i.e.
x + 4 = 0
x = - 4
=> Substitute - 4 for x in 3x² - x - 2, i.e.
3(- 4)² - (- 4) - 2
= 3 * 16 + 4 - 2
= 48 + 4 - 2
= 52 - 2
= 50 ...  

-4|----3----(-1)----(-2)
-------------(-12)------52
________________
------3------(-13)----50