Question

Determine if (x+1) is a factor 4x^2 + 2x - 5Use synthetic division

Answer 1

Given

$4x^2+2x-5$

Divide it by (x+1) using synthetic division, as shown below

The green line is a minus sign.

Thus,

$\Rightarrow4x^2+2x-5=(x+1)(4x-2)-3$

Therefore, since the remainder is different than zero, (x+1) is not a factor of 4x^2+2x-5