Question

pre calc help!!

Answer 1

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

8, -14, and 3 + 9i

Answer 2

A. f(x) = x4 - 11x3 + 72x2 - 606x + 10,080
B. f(x) = x4 - 303x2 + 1212x - 10,080
C. f(x) = x4 - 11x3 - 72x2 + 606x - 10,080
D. f(x) = x4 - 58x2 + 1212x - 10,080

Answer 3

Since the coefficients are all real, the 3+9i must also be accompanied by its complex conjugate, which 3-9i.

The zeroes are: 8,-14,3+9i,3-9i

The function is: f(x) = (x-8)(x+14)(x-[3+9i])(x-[3-9i])

Answer 4

Multiply it out