MATH SOLVE

2 months ago

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

Accepted Solution

A:

> Using the remainder theorem, set x + 4 to be equal to 0, i.e.

x + 4 = 0

x = - 4

=> Substitute - 4 for x in 3xΒ² - x - 2, i.e.

3(- 4)Β² - (- 4) - 2

= 3 * 16 + 4 - 2

= 48 + 4 - 2

= 52 - 2

= 50 ... Β

-4|----3----(-1)----(-2)

-------------(-12)------52

________________

------3------(-13)----50

x + 4 = 0

x = - 4

=> Substitute - 4 for x in 3xΒ² - x - 2, i.e.

3(- 4)Β² - (- 4) - 2

= 3 * 16 + 4 - 2

= 48 + 4 - 2

= 52 - 2

= 50 ... Β

-4|----3----(-1)----(-2)

-------------(-12)------52

________________

------3------(-13)----50