Checking a proposed quotient

Checking a proposed quotient

5 marks
TGM Original
A student claims x3-2x2+4x-7=(x-2)(x2+4)-7. Use polynomial division to correct the identity and decide whether x-2 is a factor.

Solution:

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Answer:\(x^3-2x^2+4x-7=(x-2)(x^2+4)+1\); \(x-2\) is not a factor.

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