Sloppy Student A student forgot how to multiply polynomial expressions and wrote the following on a quiz : ( a + b)( a + c) = a 2 + bc Not realizing that he had made a mistake, he checked his result by substituting different values for a, b and c . He tried a = 0, b = 1, c = 2 and a = 2, b = 1, c = −1 . Since the numbers worked out in both cases, he assumed that his formula was correct. 1. Can you come up with values for a, b, and c which will NOT work in the given answer? 2. Explain in words why the student’s answer is incorrect, and describe the proper procedure for multiply polynomials. Balanced Assessment in Mathematics Program Assessment Task 20150518220453all_inclusive_question, page 1 of 2 Copyright © 2002, President and Fellows of Harvard College Extension: 3. Give a general description of all possible values for a, b and c that will work in the incorrect formula. Balanced Assessment in Mathematics Program Assessment Task 20150518220453all_inclusive_question, page 2 of 2 Copyright © 2002, President and Fellows of Harvard College
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