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VICMath MethodsQuick questions
Unit 1: Functions, relations and graphs
Quick questions on Factor and remainder theorems (VCE Maths Methods Unit 1)
4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.
What is sign error when stating the factor?Show answer
Root $a = 2$ corresponds to factor $(x - 2)$, not $(x + 2)$.
What is missing the rational-roots constraint?Show answer
Trying $x = 5$ for $2x^3 + x^2 - 13x + 6$ wastes time; $5$ is not a divisor of $6$.
What is wrong division procedure?Show answer
Always check by multiplying the quotient by the divisor and confirming the original is recovered.
What is treating a complex remainder as zero?Show answer
Only zero remainder means $(x - a)$ is a factor.
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