Question

Which shows the correct way to divide 2x^3 + 6x^2 – 2x – 5 by x + 3 using synthetic division?

Answer 1

Simplifying
x4 + -2x3 + 6x2 + -2x = 5
 
Reorder the terms:
-2x + 6x2 + -2x3 + x4 = 5
 
Solving
 -2x + 6x2 + -2x3 + x4 = 5
 
Solving for variable 'x'.
 
Reorder the terms:
 -5 + -2x + 6x2 + -2x3 + x4 = 5 + -5
 
Combine like terms:
5 + -5 = 0 -5 + -2x + 6x2 + -2x3 + x4 = 0

The solution to this equation could not be determined

Answer 2

$2x^3 + 6x^2 -2x - 5$
by x+3 , negative -3

-3
|2 |6 |-2 |-5|
|2 |0 |-2 |1 |
$2x^2+0x-2+(r1)=2x^2-2+\frac{1}{x+3}$

$\frac{2x^3 + 6x^2 -2x - 5}{x+3}=2x^2-2+\frac{1}{x+3}$