Question

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

t² – 3, 2t⁴ + 3t³ – 2t² – 9t – 12

Answer 1

t² - 3, 2t⁴ + 3t³ - 2t² - 9t - 12

t² - 3 = t² + 0.t - 3

Since the remainder is 0,

Hence, t² - 3 is a factor of 2t⁴ + 3t³ - 2t² - 9t - 12