Use the grouping method to factor 2x^3 + 6x^2 - 7x - 21.

(2x^2-7) (x+3)

Explanation:

Now, when we write a polynomial, we write it from high order to low order, which the polynomial is already in that form. Then, we factor the first and last two terms.

To factor 2x^3 and 6x^2, 2x^2 is the common factor

2x^2 (x+3) - 7x-21

in - 7x-21, - 7 is the common factor, so our end result is

2x^2 (x+3) - 7 (x+3), and this can be rewritten as:

(2x^2-7) (x+3)