Question

DIoll Solve the equation x³ + 2x² - 5x-6=0 given that 2 is a zero of f(x)= x³ + 2x² - 5x-6.The solution set is(Use a comma to separate answers as needed.)

Answer 1

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

Step 01:

data:

f(x) = x³ + 2x² - 5x - 6

zero:

x = 2

Step 02:

roots:

solution set:

2 | 1 2 -5 -6

| 2 8 6

________________

1 4 3 0

x² + 4x + 3 = 0

(x + 3)(x + 1) = 0

x = - 3

x = - 1

The answer is:

solution set:

{-3 , -1 , 2}