# Solve the equation x^2-3x-4=(x+1)(x-4)

## Answer

$true$

## Step-by-step explanation

Problem to solve:

$x^2-3x-4=\left(x+1\right)\left(x-4\right)$

1

We can factor the polynomial $x^2-3x-4$ using synthetic division (Ruffini's rule). We search for a root in the factors of the constant term $-4$ and we found that $-1$ is a root of the polynomial

${\left(-1\right)}^2-3\left(-1\right)-4=0$

## Answer

$true$