Identify Grouping Possibilities: Step Title: Identify Grouping PossibilitiesConcise Step Description: Look for a way to group terms in the polynomial to factor by grouping.Step Calculation: Group x4 and 5x3 together, and 4x and 20 together.Step Output: (x4+5x3)+(4x+20)
Factor Out Common Factors: Step Title: Factor Out Common Factors from Each GroupConcise Step Description: Factor out the greatest common factor from each group.Step Calculation: Factor x3 from the first group and 4 from the second group.Step Output: x3(x+5)+4(x+5)
Factor Out the Common Binomial: Step Title: Factor Out the Common BinomialConcise Step Description: Factor out the common binomial factor from the two groups.Step Calculation: Factor out (x+5) from both groups.Step Output: (x+5)(x3+4)
Check for Further Factoring: Step Title: Check for Further FactoringConcise Step Description: Check if the remaining terms can be factored further.Step Calculation: x3+4 cannot be factored further using real numbers.Step Output: No further factoring possible.