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(i)
(ii)
(iii)
Asked by Sradha Last Modified
Answer 
Tasneem
The polynomial 2t4 + 3t3 - 2t2 - 9t - 12 can be divided by the polynomial t2 - 3 = t2 + 0.t - 3 as follows:
Since the remainder is 0, t² - 3 is a factor of 2t4 + 3t3 - 2t2 - 9t - 12 .
(ii) The polynomial 3x4 + 5x3 - 7x2 + 2x + 2 can be divided by the polynomial x2 + 3x + 1 as follows:
Since the remainder is 0, x² + 3x + 1 is a factor of 3x4 + 5x3 - 7x2 + 2x + 2
(iii) The polynomial x5 - 4x3 + x2 + 3x + 1 can be divided by the polynomial x3 - 3x + 1 as follows:
Since the remainder is not equal to 0, x3 - 3x + 1 is not a factor of x5 - 4x3 + x2 + 3x + 1.
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Chandan Bhagat
Mechanical Engineering from NIT Patna with five of teaching experience up to class 12th
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