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.