Final answer:
There are two methods to factorize expressions: trial and error method and factoring by grouping. Both methods involve step-by-step processes to find the factors of an expression.
Step-by-step explanation:
Solution A: Trial and Error Method
Trial and error method is used to factorize an expression by trying different factors until the correct ones are found. Here are the steps:
Write the expression in its simplest form.
Find the factors of the expression by trying different combinations.
Check each factor to see if it results in the original expression.
If a factor is found, divide the expression by that factor.
Repeat the process until the expression is completely factored.
Solution B: Factoring by Grouping
Factoring by grouping is used when an expression has four terms. Here are the steps:
Group the terms in pairs.
Factor out the greatest common factor from each pair.
Find the common factor between the two pairs.
Factor out the common factor.