Question

What are the real zeroes of x3 + 5x2 – 9x – 45?

Answer 1

You are looking for the real values of x that cause the given equation to equal zero.
x^3 + 5x^2 – 9x – 45 = 0

Factor by grouping

x^3 + 5x^2 – 9x – 45 = 0
x^2 ( x + 5) - 9 (x + 5) = 0

(x + 5) ( x^2 - 9) = 0

Answer 2

(x + 5) ( x^2 - 9) = 0

From here, your task is to contiinue the factorization by factoring (x^2 - 9).

Then, use the Zero Product Property to solve for x.

@jonathanpinon123