Question

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.

Answer 1

Ms. Guerra: She says that 2 is a zero of g(x) because g(2) = 0.
-Ms. Guerra is right because when 2 is a zero of g(x), g (2) = is 0. You can come up with this from the remainder theorem and the definition of a root.


Professor McCoy: She says that 2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0.
-Professor McCoy is wrong because for 2 to be a 0 of g(x), it must be (x – 2) but she is using (x + 2).

Answer 2

Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.
-Mr. Romano is right because if (x – 2) is a factor of g(x), it will allow 2 to have 0 as the remainder. Remainder theorem.

Can someone check these please?

Answer 3

all the diamonds are just "(x-2)"

Answer 4

@SolomonZelman @satellite73 can someone please check these