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Using the Remainder Theorem, factorise e...

Using the Remainder Theorem, factorise each of the following completely:
(i) `3x^3+2x^(2)-19x+6`
(ii) `2x^(3)+x^2-13x+6`
(iii) `3x^(3)+2x^2-23x-30`
(iv) `4x^3+7x^2-36x-63`
(v) `x^3+x^2-4x-4`

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The correct Answer is:
`(i) -(2)/(3)` `(ii) -2` `(iii) (1)/(3),(13)/(4)` `(iv) -(9)/(7)` `(v) 2,(1+-sqrt(7))/(3)`
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