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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.
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
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