Question

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

Answer 1

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

Step-by-step 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)