# Question: How Do You Check Your Answer When Factoring?

You can check your factoring **by multiplying them all out to see if** you get the original expression. If you do, your factoring is correct; otherwise, you might want to try again. I hope that this was helpful.

## When factoring I can check that my work is correct by using?

Since the polynomial is now expressed as a product of two binomials, it is in factored form. We can check our work by multiplying and comparing it to the original polynomial.

## What do you check for first when factoring?

It is a best practice to look for and factor out the greatest common factor (GCF) first. This will facilitate further factoring and simplify the process. Be sure to include the GCF as a factor in the final answer.

## How do you know if something is factored?

In theory, any polynomial in one variable with real (e.g. integer) coefficients can be factored as the product of linear and/or quadratic factors where the quadratic factors are irreducible over R. The quadratic is factorable (over R ) if and only if Δ≥0.

## What is the first question you ask yourself when factoring a polynomial?

As you start to factor a polynomial, always ask first, “Is there a greatest common factor? ” If there is, factor it first. The next thing to consider is the type of polynomial.

## What are the 4 methods of factoring?

The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

## What are the factoring rules?

A useful factoring rule for ax^2+bx+c is to note that if c>0, then LI and LO must be both positive or both negative. Likewise, if a is positive, FO and FI must be both positive or both negative. If c is negative, then either LI or LO is negative, but not both. Again, the same holds for a, FO, and FI.

## How do you know when to factor out a negative?

The laws of multiplication state that when a negative number is multiplied by a positive number, the product will be negative. So, if considering a factor pair of a negative product, one of these factors must be negative and the other factor must be positive.