Question

The polynomial long division of 2x^3+4x^2+5x-1 by x+1 results in a remainder of -4 which correctly expresses the remainder?

Answer 1

Given the polynomial division:

$\frac{2x^3+4x^2+5x-1}{x+1}$

Remainder: -4

To express the remainder of a polynomial, the remainder -4 will be divided by (x + 1).

Therefore, since the remainder is -4, and the polynomial is divided by x+1, the correct way to express the remainder is:

$-\frac{4}{x+1}$

ANSWER:

$-\frac{4}{x+1}$