Question

Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?

Answer 1

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,

$p(x) = {x}^{3} + 2 {x}^{2} - 3x - 4$

is divided by x+1, then the remainder is given by

$p( - 1)$

We substitute x=-1 into the function to obtain,

$p( - 1) = {( - 1)}^{3} + 2 { ( - 1)}^{2} - 3( - 1) - 4$

We simplify to get:

$p( - 1) = - 1+ 2 (1) + 3 - 4$

$p( - 1) = 4- 4$

$p( - 1) = 0$

Katnis is right because the remainder is zero