What is a quartic function with only the two real zeroes given? x = 5 and x = 1 (1 point) Responses y = –x4 – 6x3 + 6x2 – 6x + 5 y = – x 4 – 6x 3 + 6x 2 – 6x + 5 y = x4 + 6x3 – 6x2 + 6x – 5 y = x 4 + 6x 3 – 6x 2 + 6x – 5 y = x4 – 6x3 + 5x2 – 6x + 6 y = x 4 – 6x 3 + 5x 2 – 6x + 6 y = x4 – 6x3 + 6x2 – 6x + 5
The correct response is:
y = (x - 5)(x - 1)(x^2 + 6x + 5)