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

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm g(x) = x³ – 3x + 1, f(x) = x⁵ – 4x³ + x² + 3x + 1

Answer 1

x³ - 3x + 1, x⁵ - 4x³ + x² + 3x + 1

Since the remainder ≠ 0

Hence x³ - 3x + 1 is not a factor of x⁵ - 4x³ + x² + 3x + 1