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Check whether the first polynomial is a factor of the second polynomial by dividing :
`t^(2)-3, 2t^(4)+3t^(3)-2t^(2)-9t-12`

Text Solution

Verified by Experts

The correct Answer is:
i] Since the remainder is `0, t^(2) - 3 ` is a factor of `2t^(4) + 3t^(3) - 2t^(2) - 9t - 12`
ii] Since the remainder is 0, `x^(2) + 3x +1` is a factor of `3x^(4) + 5x^(3) - 7x^(2) + 2x +2`
iii] Since the remainder `ne 0, x^(2) - 3x +1` , is not a factor of `x^(5) - 4x^(3) + x^(2) + 3x +1`
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