Which shows one way to determine the factors of x^3 + 5x^2 – 6x – 30 by grouping?

The factors of x^3 + 5x^2 – 6x – 30 are (x^2-6)(x+5).

Step-by-step 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)

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step-by-step explanation: