Stephanie B. answered • 05/20/20

High School/College Algebra and Trig, Statistics, and Chemistry

To show that (x+2) is a factor, you can do polynomial long division to find the other factor (x^3 - 27). So x^4+2x^3−27x−54 = (x+2) * (x^3 - 27).

Be careful when you see "factor completely". That usually means that one of your factors can be factored some more. In this case, (x^3 - 27) is a **difference of cubes**, and can be factored more using the formula for that