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

### Videos

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## 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

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

$true$

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

Equations

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