Question

Explain how you can determine if (x + 3) is a factor of the given polynomial through factoring and polynomial division

x3-x2-12x
Upload a written answer and response to the activity including an explanation of how you arrived at your answer/response (what steps did you take, etc.). This should include a few sentences of narration to explain the math behind your work. Please be sure you address all parts of the question.

Answer 1

Explanation:

factor out x because that variable is common in all 3 terms

x (x2 - x - 12)

now you can factor

x (x-4) (x+3)

when you use FOIL you will see you arrive at the original answer.

so yes it is a factor