Question

I need the answer to thisI wanted to know the correct roots for each polynomial equation

Answer 1

Roots:

x = -3

x = -4

x = 5

Step-by-step explanation:

The roots are the values of x that make the equation equal to 0.

In this case, the polynomial is

x³ + 2x² - 23x - 60

So, we need to solve the following equation

x³ + 2x² - 23x - 60 = 0

Since x³ + 2x² - 23x - 60 = (x + 3)(x + 4)(x - 5), we get:

(x + 3)(x + 4)(x - 5) = 0

Then, this is equal to 0 when a factor is equal to 0, so

x + 3 = 0

x + 3 - 3 = 0 - 3

x = -3

or

x + 4 = 0

x + 4 - 4 = 0 - 4

x = -4

or

x - 5 = 0

x - 5 + 5 = 0 + 5

x = 5

Therefore, the roots are -3, -4, and 5.