Question

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

x² + 3x + 1, 3x⁴ + 5x³ – 7x² + 2x + 2

Answer 1

x² + 3x + 1, 3x⁴ + 5x³ – 7x² + 2x + 2

Since the remainder is 0

hence x² + 3x +1 is a factor of 3x⁴ + 5x³ - 7x² + 2x + 2