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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)

5short 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?
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Root a=2a = 2 corresponds to factor (x−2)(x - 2), not (x+2)(x + 2).
What is wrong division procedure?
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Always check by multiplying the quotient by the divisor and confirming the original is recovered.
What is q1?
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Find the remainder when P(x)=x3+2x2−x+3P(x) = x^3 + 2x^2 - x + 3 is divided by (x+1)(x + 1). [2 marks]
What is q2?
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Show that (x−3)(x - 3) is a factor of P(x)=x3−4x2+x+6P(x) = x^3 - 4x^2 + x + 6, then factorise fully. [4 marks]
What is q3?
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When P(x)=x3+ax−6P(x) = x^3 + ax - 6 is divided by (x−2)(x - 2) the remainder is 44. Find aa. [3 marks]

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