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)

14 -w-

Step-by-step explanation: