Question

PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!

The polynomial function y = x^3 -3x^2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros of the function?

Answer 1

Answer: B

Step-by-step explanation:

  x³ - 3x²  + 16x - 48 = 0

→ x²(x - 3)   + 16(x - 3) = 0

→ (x² + 16) (x - 3) = 0

→ (x² - (-16)) (x - 3) = 0

→ (x - 4i)(x + 4i)(x - 3) = 0

→ x - 4i = 0    x + 4i = 0   x - 3 = 0

→  x = 4i          x = -4i        x = 3

2 imaginary roots         and 1 real root