Answer:
The remainder is -119
Step-by-step explanation:
[tex](x^3 - 5x^2+ 14x - 5)[/tex] divide by (x+3)
we use the remainder theorem to find the remainder
We are given with x+3
[tex]x+3=0, x=-3[/tex]
To find remainder, we substitute -3 for x
[tex](x^3 - 5x^2+ 14x - 5)[/tex]
[tex]((-3)^3 - 5(-3)^2+ 14(-3) - 5)[/tex]
[tex]-27-45-42-5=-119[/tex]
The remainder is -119