Three partygoers are in the corner of the ballroom having an intense argument. You walk over to settle the debate. They are discussing a function g(x). You take out your notepad and jot down their statements.

•Professor McCoy: She says that 2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0.
•Ms. Guerra: She says that 2 is a zero of g(x) because g(2) = 0.
•Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.

Question

Three partygoers are in the corner of the ballroom having an intense argument. You walk over to settle the debate. They are discussing a function g(x). You take out your notepad and jot down their statements.

•Professor McCoy: She says that 2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0.
•Ms. Guerra: She says that 2 is a zero of g(x) because g(2) = 0.
•Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.

kobeni-chan · Answer

Correct the reasoning of any inaccurate reasoning by the partygoers in full and complete sentences. Make sure you reference any theorems that support your justifications.

tkhunny · Answer

You should argue the other equivalent claim, that you factored it and (x-2) is an explicit factor.

kobeni-chan · Answer

I don't think we went over explicit factors yet :/