Algebra Question

Question

Whats the remainder using the remainder theorem and check using synthetic division. 

x3 - 2x2 + 5x - 6 divided by x - 3

Remainder:    

Remainder Theorem:

 

I have to show work

Answer 1

x^2 + x + 8 with remainder of 18

x^3 -2x^2 + 5x -6 divided by x-3 is x^2 +x +8 with remainder of 18, use synthetic division

3 1 -2 5 -6

__3__3__24__

1 1 8 18

= x^2+x+8 with remainder 18