Rejecting a proposed factor

Rejecting a proposed factor

3 marks
TGM Original
A student says that 3x-2 is a factor of P(x)=3x3+x2-10x+8. Use the factor theorem to decide whether the claim is correct.

Solution:

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Answer:Not a factor: \(\mathrm{P}\left(\dfrac23\right)=\dfrac83\ne0\).

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