# How to factor binomials?

## How to factor binomials?

1) Review the basics of factoring. Factoring is when you break a large number down into it’s simplest divisible parts. 2) Place the binomial’s terms in order to make them easier to read. 3) Find the greatest common factor of both terms. This means you find the highest possible number that both parts of the binomial are divisible by. 4) Divide the greatest common factor from each term. Once you know your common factor, you need to remove it from each term. 5) Multiply your factor by the resulting expression to finish. But you weren’t just getting rid of the three entirely, simply factoring it out to simplify things. 6) Check your work by multiplying it all back out to the original equation. If you did everything correctly, checking that you got it right should be easy.

## How do you factor binomials?

Understand factoring. When you multiply two binomials together in the FOIL method, you end up with a trinomial (an expression with three terms) in the form ax2+bx+c, where a, b, and c are ordinary numbers. If you start with an equation in the same form, you can factor it back into two binomials.

How to factor trinomials?

Identify the values for b and c.

• Find two numbers that ADD to b and MULTIPLY to c.
• Use the numbers you picked to write out the factors and check
• ### What are some methods for factoring A trinomial?

Methods for Factoring Trinomials Apply an algorithm to rewrite a trinomial as a four term polynomial Use factoring by grouping to factor a trinomial Use a shortcut to factor trinomials of the form x 2 + b x + c Factor trinomials of the form a x 2 + b x + c Recognize where to place negative signs when factoring a trinomial Recognize when a polynomial is a difference of squares, and how it would factor as the product of two binomials Apply an algorithm to rewrite a trinomial as a four term polynomial Use factoring by grouping to factor a trinomial Use a shortcut to factor trinomials of the form x 2 + b x + c Factor trinomials of the form a x 2 + b x + c Recognize where to place negative signs when factoring a trinomial