Factor completely, then place the answer in the proper location on the grid.

6 х^2 - 3 х - 30

3 (x + 2) (2x - 5)

Step-by-step explanation:

Given

6x² - 3x - 30 ← factor out 3 from each term

= 3 (2x² - x - 10) ← factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x - term

product = 2 * - 10 = - 20 and sum = - 1

The factors are + 4 and - 5

Use these factors to split the x - term

2x² + 4x - 5x - 10 (factor the first/second and third/fourth terms)

= 2x (x + 2) - 5 (x + 2) ← factor out (x + 2) from each term

= (x + 2) (2x - 5), thus

2x² - x - 10 = (x + 2) (2x - 5) and

6x² - 3x - 30

= 3 (x + 2) (2x - 5) ← in factored form