ANSWER
Katnis is right
EXPLANATION
We use the Remainder Theorem to check if she is right.
According to the Remainder Theorem, if the polynomial function,
[tex]p(x) = {x}^{3} + 2 {x}^{2} - 3x - 4[/tex]
is divided by x+1, then the remainder is given by
[tex]p( - 1)[/tex]
We substitute x=-1 into the function to obtain,
[tex]p( - 1) = {( - 1)}^{3} + 2 { ( - 1)}^{2} - 3( - 1) - 4[/tex]
We simplify to get:
[tex]p( - 1) = - 1+ 2 (1) + 3 - 4[/tex]
[tex]p( - 1) = 4- 4[/tex]
[tex]p( - 1) = 0[/tex]
Katnis is right because the remainder is zero
