1. Make sure you show all of your work!

Change the quadratic to factored form.

g (x) = 2x² - 3x-5

g (x) = (2x - 5) (x + 1)

Step-by-step explanation:

g (x) = 2x² - 3x - 5

1. find two numbers that add up to - 3 and has the product of - 10: - 5 & 2.

2. Put them in the stead of - 3x: 2x² - 5x + 2x - 5

3. Factor: (2x - 5) (x + 1)

g (x) = (2x - 5) (x + 1)

Step-by-step explanation:

g (x) = 2x² - 3x-5

2 * (-5) = - 10

and

(-5) + 2 = - 3

so

2x² - 3x-5

= 2x² + 2x - 5x - 5

= 2x (x + 1) - 5 (x + 1)

= (2x - 5) (x + 1)

Answer

g (x) = (2x - 5) (x + 1)