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Use the Factor Theorem to determine whet...

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases:
(i) `f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1`
(ii) `f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1`
(iii) `f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2`
(iv) `f (x) = 3x ^(3) + x^(2) - 20x + 12, g (x) = 3x -2`
(v) ` f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3`

Text Solution

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The correct Answer is:
(i) Yes (ii) Yes (iii) Yes (iv) Yes (v) Yes
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