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 16 choices (Posted on 2019-01-21)
For a polynomial p(x), the value of p(3) is −2.

Which of the following must be true about p(x)?
A) x−5 is a factor of p(x).
B) x−2 is a factor of p(x).
C) x+2 is a factor of p(x).
D) The remainder when p(x) is divided by x−3 is −2.

Source: SAT

 No Solution Yet Submitted by Ady TZIDON No Rating

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 Solution | Comment 1 of 5
D is true from the polynomial remainder theorem.

p(x) = x^2 - 11 satisfies the requirement of p(3) = -2.  However none of x-5, x-2, or x+2 are factors of x^2-11.  Therefore none of A, B, or C must be true.

 Posted by Brian Smith on 2019-01-21 23:33:09
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