For the complex polynomial below, one of its zeroes is x = 3 - i. Use the given zero to help find all zeroes of the polynomial, then write the polynomial in completely factored form. Hint: synthetic division and the quadratic formula can be applied to all polynomials, even those with complex coefficients. C(x) = x³ - 3x² + (3 + 3i)x + (-6 + 2i) A) C(x) = (x - 3 - i)(x + 2i)(x + i); x = -2i, x = -i B) C(x) = (x - 3 + i)(x - 2i)(x - i); x = 2i, x = i C) C(x) = (x - 3 + i)(x + 2i)(x - i); x = -2i, x = i D) C(x) = (x - 3 + i)(x - 2i)(x + i); x = 2i, x = -i

Question

Quizplus · Accepted Answer

The Answer of For the complex polynomial below, one of its zeroes is x = 3 - i. Use the given zero to help find all zeroes of the polynomial, then write the polynomial in completely factored form. Hint: synthetic division and the quadratic formula can be applied to all polynomials, even those with complex coefficients. C(x) = x³ - 3x² + (3 + 3i)x + (-6 + 2i) A) C(x) = (x - 3 - i)(x + 2i)(x + i); x = -2i, x = -i B) C(x) = (x - 3 + i)(x - 2i)(x - i); x = 2i, x = i C) C(x) = (x - 3 + i)(x + 2i)(x - i); x = -2i, x = i D) C(x) = (x - 3 + i)(x - 2i)(x + i); x = 2i, x = -i

For the Complex Polynomial Below, One of Its Zeroes Is