Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial:
(i) 
(ii) 
(iii) 
(i) t2-3 = t2+0t-3
Since the remainder is 0,
Hence, t2 – 3 is a factor of 2t4+3t3-2t2-9t-12.
(ii)
Since the remainder is 0,
Hence, x2+3x+1 is a factor of 3x4+5x3-7x2+2x+2.
(iii)
Since the remainder ≠0,
Hence, x3-3x+1 is not a factor of x5-4x3+ x2+3x+1.
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