Question

Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial : x³ – 3x + 1, x⁵ – 4x³ + x² + 3x + 1.

Answer 1

 

\(\because \) Reminder 2 left when x⁵ - 4x³ + x² + 3x + 1 is divided by x³ - 3x + 1

\(\therefore\) (x³ - 3x + 1) is not a factor of (x⁵ - 4x³ + x² + 3x + 1).