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16 choices (Posted on 2019-01-21) Difficulty: 2 of 5
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    
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Hints/Tips re: Solution PLEASE RECONSIDER. | Comment 2 of 5 |
(In reply to Solution by Brian Smith)

You say

p(x) = x^2 - 11 satisfies the requirement of p(3) = -2. 

so does polynome p(x)=x-5

making the rest of your answer:

 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.

not valid .


  Posted by Ady TZIDON on 2019-01-22 06:54:58
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