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.

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.

anonymous · Answer

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

anonymous · Answer

i really need help with this

anonymous · Answer

"2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0."
This is not correct. 2 is a zero of g(x) if long division with (x - 2)  ... not (x + 2) ... results in a remainder of 0

anonymous · Answer

Ms Guerra's statement is correct.

anonymous · Answer

Mr. Romano is also correct.

anonymous · Answer

Thank you so much I really appreciate it