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

Question

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## Answers ( )

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

Step-by-step explanation:Answer:(-4, 0) and (5/2, 0)

Step-by-step explanation:f(x) = –2×2 – 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)