Question

If f(x) = x^3 – 3x^2 + 16x + 20 and x + 1 is a factor of f(x), then find all of thezeros of f(x) algebraically.

Answer 1

Given the expression:

`x^3-3x^2+16x+20`

Factoring the expression:

`(x+1)(x^2-4x+20)`

To find zeros:

`(x+1)(x^2-4x+20)=0`

x + 1 = 0 x² - 4x + 20 = 0. This expression has no real roots.

x = - 1

ANSWER

f(x) has one root in x = -1