Bill wants to factor a polynomial p(x). He evaluates p(1/2) and gets a remainder of o. Which binomial must be a factor of p(x)?
O X-2
O X+1
O 2x-1
O none of these.

2x - 1

If p(1/2) gets a remainder of 0, that means that when that when x=1/2, that 1/2 multiplied by some number minus a different number equals 0. To solve this, plug x = 1/2 into the above expressions:
(1/2) - 2 = -3/2 ≠ 0
(1/2) + 1 = 3/2 ≠ 0
2(1/2) -1 = 0

So 2x - 1 is the answer

Answers: the graph is translated down 1 unit and the domain and range of g(x) is the same as the domain and range of f(x).