Three party-goers 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.
Correct the reasoning of any inaccurate reasoning by the party-goers in full and complete sent

Question

Three party-goers 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.
Correct the reasoning of any inaccurate reasoning by the party-goers in full and complete sent

anonymous · Answer

I know a list of theorems, but I have no idea where "Ms. Guerra" got her answer.

anonymous · Answer

The factor theorem proves Mr. Romano is right.