Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial.

(i) t² - 3, 2t⁴ + 3t² - 9t -12

Remainder = 0

Hence first polynomial is a factor of second polynomial.

(ii) x² + 3x +1, 3x⁴ + 5x³ - 7x² + 2x + 2

Remainder = 0

Hence first polynomial is a factor of second polynomial.

(iii) x³ - 3x + 1, x⁵ - 4x³ + x² + 3x +1

Remainder ≠0

Hence first polynomial is not factor of second polynomial.