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

Answer 2

The quotient of the if the function 3x^2 – x – 2 is divided by x + 4 is 3x + 11

Given the expression, we are to use the synthetic division to divide the expression

Let P(x) = 3x² – x – 2

g(x) = x + 4

We are to divide both expressions $r(x) = \frac{P(x)}{g(x)}$

find the synthetic process attached as a file:

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