Question

Show that (x+3) is a factor of 69+11x-x²+x ³.

Answer 1

x2- 4x+23
___________
x+3)x3-x2+11x+69
-(x3 +3x2)
__________
=> 0- 4x2+11x+69
-(-4x2-12x)
__________
=> 0+23x +69
-(23x + 69)
__________
0
hence the remainder is 0 so x+3 is a factor of p(x)

Answer 2

Step-by-step explanation:

x^2 -4x + 23 is the ans to your question