What are the x-intercepts of the function f (x) = - 2x2 - 3x + 20? (-4, 0) and five-halves five-halves and (4, 0) (-5, 0) and (2, 0) (-2, 0) and (5, 0)

(-4, 0) and (5/2, 0)

Step-by-step explanation:

f (x) = - 2x2 - 3x + 20

factor using the diamond method

-2*20 = - 40

so - 8 * 5 = - 40 and - 8 + 5 = - 3 so ...

f (x) = - 2x^2 - 8x + 5x + 20

f (x) = - 2x (x + 4) + 5 * (x + 4)

f (x) = (-2x + 5) * (x + 4)

x-intercepts are x = 5/2 and x = -4

(-4, 0) and (5/2, 0)

(-4, 0) and (5/2, 0)