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product of a linear and cubic factor

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(i) Determine the remainder when 9x^5 â?" 4x^4 is divided by 3x â?" 1.

(ii) Show, using the factor theorem, that 2x â?" 1 is a factor of
2x^4 â?" x^3 â?" 6x^2 + 5x â?" 1

and hence express 2x^4 â?" x^3 â?" 6x^2 + 5x â?" 1 as a product of a linear
and cubic factor.

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Solution Summary

The product of a linear and cubic factor is identified.

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(i) Determine the remainder when is divided by

(ii) Show, using the factor theorem, that is a factor of

and hence express as a product of a linear
and cubic factor.

(i) The Remainder Theorem tells ...

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