Factor by Grouping x^3-3x^2+5x-15

Problem

x^3−3*x^2+5*x−15

Solution

1. Group the terms into two pairs to find common factors within each group.

(x^3−3*x^2)+(5*x−15)

2. Factor out the greatest common factor from the first pair, which is x^2

x^2*(x−3)+(5*x−15)

3. Factor out the greatest common factor from the second pair, which is 5

x^2*(x−3)+5*(x−3)

4. Identify the common binomial factor (x−3) and factor it out from the entire expression.

(x−3)*(x^2+5)

Final Answer

x^3−3*x^2+5*x−15=(x−3)*(x^2+5)

Want more problems? Check here!