perplexus.info :: Just Math : 16 choices

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

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re(4): Solution PLEASE RECONSIDER.

Comment 5 of 5 |

(In reply to re(3): Solution PLEASE RECONSIDER. by Ady TZIDON)

I disagree. Brian Smith gave the only possible correct answer to the question asked.

The important word is "must." D) is true of every polynomial for which p(3)=-2. The other choices are sometimes true and sometimes false.

The example x^2-11 was a perfect choice as only D) is true. It shows that the other choices are NOT always true.

Posted by Jer on 2019-01-22 11:38:14

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