Find all real zeros of the function y=x3−6x2−25x+150

Answer 1

To find the zeros, set the polynomial equal to zero:

x³ − 6x² −25x + 150 = 0

Factor by grouping:

(x³ − 6x²) −(25x - 150) = 0

x²(x − 6) − 25(x - 6) = 0

(x - 6)(x² - 25) = 0

(x - 6)(x + 5)(x - 5) = 0

Set each binomial equal to zero:

x - 6 = 0 or x = 6

x + 5 = 0 or x = -5

x - 5 = 0 or x = 5