# What is a sign chart?

##### 1 Answer

Please see below.

#### Explanation:

Sign chart is used to solve inequalities relating to polynomials, which can be factorized into linear binomials. For example, of the type

It could also be **less than** or **less than or equal** or **greater than or equal**, but the process is not much effected.

Note that these can be written as

(here

Note that numbers

For example, if they are already in increasing order, these are

In these intervals, we can find that each of these linear binomial i.e.

and hence the polynomial (as it is a product of these linear binomials) will take positive or negative value

and can easily check the intervals, where the inequality is satisfied, giving us the result.

As an example, one may like to see solution to this question. .