Question

Is this statement correct? Please help quick! Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.

Answer 1

@austinL

Answer 2

I do believe we are missing some pertinent information.

Answer 3

yea @austinL is right

Answer 4

ok hold on

Answer 5

2.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 sentences. Make sure you reference any theorems that support your justifications.

Answer 6

that's ok

Answer 7

that is the full problem, but I just need Mr.Romano's.

Answer 8

ok

Answer 9

In terms of the Remainder Theorem if (x – a) is a factor of g(x), then the remainder, when we do synthetic division by x = a will be zero. So here 2 is a zero of g(x).

Answer 10

ok

Answer 11

thanks