# Step-by-step Solution

## Solve the inequality $\left(x+1\right)\left(x-3\right)\leq 0$

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$-1\leq x\leq 3$

## Step-by-step explanation

Problem to solve:

$\left(x+1\right)\left(x-3\right)\le\:0$
1

Solve the product $\left(x+1\right)\left(x-3\right)$

$x^2-2x-3\leq 0$
2

To find the roots of a polynomial of the form $ax^2+bx+c$ we use the quadratic formula, where $a=1$, $b=-2$ and $c=-3$

$x =\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$-1\leq x\leq 3$
$\left(x+1\right)\left(x-3\right)\le\:0$