Answer:
The factors of x^3 + 5x^2 – 6x – 30 are (x^2-6)(x+5).
Explanation:
The given expression is:
x^3 + 5x^2 – 6x – 30
Group the first two terms and last two terms:
(x^3+5x^2) - (6x+30)
Now take common of each term:
x^2(x+5) -6(x+5)
(x^2-6)(x+5)
Thus the factors of x^3 + 5x^2 – 6x – 30 are (x^2-6)(x+5).
You can further solve this:
(x^2-6)(x+5) = (x-√6)(x+√6)(x+5)....