Question

Factor f(x)= x^(3)-3x^(2)+100x-300 into factor form (x) given that 3 is a zero

Answer 1

Explanation:

since f(3) = x³-3x²+100x-300 = 0

(x-3) is a factor of f(x)

use synthetic division

3| 1 -3 100 -300

3 0 300

1 0 100 0

(x²+100)(x-3)

find all zeros

x1 = 10i, x2 = -10i, X3 = 3