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

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

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

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

________________

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

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

--------------12------(-44)

________________

------3------(-11)----(-46)

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

--------------(-12)----44

________________

------3------11----42

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

--------------12------52

________________

------3------(-13)----(-54)

• (3x² - x - 2) ÷ (x + 4)

=> 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 ...

=> From the remainder theorem of calculation, we can say that option A is correct ...Ans.

• Jorge wants to divide (3x^2 - x - 2) by (x + 4) using synthetic division.

Which shows the correct process?

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

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

________________

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

• -13 + 3 x + 50/(4 + x)

• A

• A

🙂