This can't be explained in a few words. Basically you check the different special cases, mentioned in a school algebra course: whether there is a common factor, whether a binomial is a difference of squares, etc. Check a high school algebra book for more details.
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Trinomials, Binomials and Monomials
Binomials and trinomials are two types of polynomials. The first has two terms and the second has three.
To find the factor of 2 binomials
X - 4
(7x + 2)(3x - 5)