Question

Use the given zero to find all the zeros of the function.

Function                                            Zero

f (x) = x^3 - 2x^2 - 14x + 40               3 - i

Answer 1

Step 1:

The cubic polynomial is  .

A cubic function has three zeros.

One of the zero is .

By the complex root conjugate theorem is a zero.

By using Factor theorem,

When then is factor of polynomial.

Step 2:

Solution:

Remaining zeros are and .