Question

After using synthetic division to create the new equation how do I find the zeros when you can’t factor?

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

f(x) = x³ + 4x² - 15x - 18

zero:

x = 3

Step 02:

synthetic division:

zeros:

3 | 1 4 - 15 -18

| ___ 3__ 21___18______

1 7 6 0

the remain = 0

x² + 7x + 6

(x + 6)(x + 1)

x = -6

x = -1

The answer is:

x = -6

x = -1