Answer :

(i) t^{2}-3 = t^{2}+0t-3

Since the remainder is 0,

Hence, t^{2} – 3 is a factor of 2t^{4}+3t^{3}-2t^{2}-9t-12.

_{(ii)}

Since the remainder is 0,

Hence, x^{2}+3x+1 is a factor of 3x^{4}+5x^{3}-7x^{2}+2x+2.

_{(iii)}

Since the remainder ≠0,

Hence, x^{3}-3x+1 is not a factor of x^{5}-4x^{3}+ x^{2}+3x+1.

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