Question 1014520
factoring is the act of finding the numbers or expressions that multiply together to make a given number or equation.
In the case of a polynomial, factoring is the breaking apart of a polynomial into a product of other smaller polynomials.
You have multiple factoring options to choose from when solving polynomial equations:
- For a polynomial, no matter how many terms it has, always check for a greatest common factor (GCF) first. Using the GCF is like doing the distributive property backward.
- If the equation is a trinomial — it has three terms — you can use the FOIL method for multiplying binomials backward.
- If it’s a binomial, look for difference of squares, difference of cubes, or sum of cubes.
Finally, after the polynomial is fully factored, you can use the zero product property to solve the equation. 
For more information I would suggest you crack your math book, you'll be surprised to see how much information is between the front and back covers.