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Proving the exact multiplicity of a factor

Proving the exact multiplicity of a factor

5 marks
TGM Original
Show that x+2 occurs exactly twice as a factor of P(x)=x3+x2-8x-12. Use the factor theorem and polynomial division.

Solution:

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Answer:\(\mathrm{P}(x)=(x+2)^2(x-3)\); \(x+2\) occurs exactly twice.

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