Question

Find all of the zeros algebraically

Answer 1

-4, 9, -1

Explanation:

x³ - 4x² - 41x - 36

= x²(x + 4) - 8x² - 41x - 36

= x²(x + 4) - 8x(x + 4) - 9x - 36

= x²(x + 4) - 8x(x + 4) - 9(x + 4)

= (x + 4)(x² - 8x - 9)

= (x + 4) (x - 9)(x + 1)

so the zeros of f(x) are: -4, 9, -1