![]() When you divide a number by its factor, you get a remainder of zero. The question uses the word must, so it doesn't matter how simple our polynomial is as long as p(3) = -2.Ĭhoice (A) asks whether x - 5 is a factor of p(x). This may look like cheating, but notice that when x = 3, p(x) = -2, so it meets the requirements of the problem. I'm going to create the simplest p(x) I can think of that makes p(3) = -2: The question does tell us that p(3) = -2, but it doesn't give us any other requirements. Therefore, if Question 29 is asking what must be true about p(x), we can just make up a polynomial and test the answer choices! If the sentence is true, it has to apply to every swan in existence. If something must be true, it has to be true for each and every example.Ī single black swan would disprove the sentence. Just how do you test answer choices when the problem doesn't even give you a polynomial to work with? Method #2: Test the answer choices by choosing a polynomial. ![]() While I understand the value of proving mathematical theorems, normal people like you and I shouldn't have to improvise proofs on a timed test of basic math concepts. She proceeds to re-create the proof for the Polynomial Remainder Theorem from scratch.įinished with her test, Miss Bach jets off to mail in her Mensa application. Esther walks into the test not knowing the textbook method for solving the problem. It works pretty well for Esther Godel Bach, that math genius who doesn't prep for the SAT. The College Board's explanation (page 41) relies on Method #1. Method #1: Prove a mathematical theorem while taking your test. You can tackle this intimidating-looking problem four different ways, only one of which is as complicated as the problem seems. Which of the following must be true about p(x)?ĭ) The remainder when p(x) is divided by x − 3 is −2. The top sat study guides from the market are evaluated and listed below in this article.Solution for New SAT Practice Test #1, Calculator-Based Math, Problem 29 (page 53)įor a polynomial p(x), the value of p(3) is −2.Get access to section wise practice tests for the SATs.Take one of our many SAT practice tests for a run-through of commonly asked questions.Take advantage of this valuable resource to pinpoint your strengths and weaknesses. ![]()
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