Final answer:
To find the zeros of the function algebraically, we need to solve the quadratic equation 2x² - 7x - 72 = 0. By factoring, we can rewrite the equation as (2x + 9)(x - 8) = 0. Setting each factor equal to zero gives us the zeros x = -9/2 or x = 8.
Step-by-step explanation:
To find the zeros of the function F(x) = 2x² - 7x - 72, we need to solve the quadratic equation 2x² - 7x - 72 = 0. One way to solve this equation is by factoring.
By factoring, we can rewrite the equation as (2x + 9)(x - 8) = 0.
Setting each factor equal to zero, we get 2x + 9 = 0 or x - 8 = 0. Solving these equations gives us the zeros x = -9/2 or x = 8.
Learn more about Finding zeros of a quadratic function