#### Questions

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

x^{3} – 3x + 1, x^{5} – 4x^{3} + x^{2} + 3x + 1

Check whether the first polynomial is a factor of the second polynomial by applying the division algorithm g(x) = x^{3} – 3x + 1, f(x) = x^{5} – 4x^{3} + x^{2} + 3x + 1

#### Solution

x^{3} - 3x + 1, x^{5} - 4x^{3} + x^{2} + 3x + 1

Since the remainder ≠ 0

Hence x^{3} - 3x + 1 is not a factor of x^{5} - 4x^{3} + x^{2} + 3x + 1

Is there an error in this question or solution?

Solution Check whether the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial x^3 – 3x + 1, x^5 – 4x^3 + x^2 + 3x + 1 Concept: Division Algorithm for Polynomials.