Answer:
x^3 + 2x^2 - x + 6
Step-by-step explanation:
Please write that as x^3 + 2x^2 - x + 6, where the " ^ " indicates exponentiation.
Use synthetic division to determine whether or not (x + 3) is a factor of x^3 + 2x^2 - x + 6. If you don't know synthetic division, then divide x^3 + 2x^2 - x + 6 by x + 3 using long division.
Using synthetic division:
Identify the coefficients of this x^3 + 2x^2 - x + 6: They are 1, 2, -1 and 6.
Set up synthetic division:
-3 / 1 2 -1 6
-3 3 -6
-----------------------
1 -1 2 0
Because the remainder is zero, we now know that (x + 3) is a factor and that the quoitient is
1x^2 - x + 2
