Question

write the polynomial in standard from 5, -2, 4, 1 + i

Answer 1

(x - 5)(x + 2)(x - 4) (x - (1 + i))(x - (1 - i))
(x^2 - 3x - 1)(x - 4)(x - 1 - i)(x - 1 + i)
(x^3 - 4x^2 - 3x^2 + 12x - x + 4)(x - 1 - i)(x - 1 + i)
(x^3 - 7x^2 + 11x + 4)(x - 1 - i)(x - 1 + i)
(x^3- 7x^2 + 11x + 4)(x^2 - x + ix - x + 1 - i - ix + i + 1)
(x^3 - 7x^2 + 11x + 4)(x^2 - 2x + 2)
(x^5 - 2x^4 + 2x^3 - 7x^4 + 14x^3 - 14x^2 + 11x^3 - 22x^2 + 22x + 4x^2 - 8x + 8)

x^5 - 9x^4 + 27x^3 - 32x^2 + 14x + 8

Answer 2

thank you. :)