Mathematics, 05.05.2020 10:59 codycollier
Two students, Claude and Diane, were asked to use synthetic division and the Remainder Theorem to find the value of f(2) given f(x)=2x^3+5xβ6. Their work is shown here.
Claude's Work 2ββ|220445813β626|20
Diane's Work 2ββ|220β4β45813β6β26|β32
Part A: Which student correctly used synthetic division to find f(2)?
Part B: What is the value of f(2)?
Part C: Is xβ2 a factor of 2x3+5xβ6? In other words, is x=2 a zero of f(x)?
Part D: What are all the methods that can be used to find out if xβ2 is a factor of 2x3+5xβ6?
Answers: 3
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