The x-intercepts of the function are (-4,0) and (5/2,0)
How to determine the x-intercept?
The function is given as:
f(x) = -2x^2 – 3x + 20
Set the function to 0
-2x^2 – 3x + 20 = 0
Expand the function
-2x^2 +5x - 8x + 20 = 0
Factorize
-x(2x - 5) - 4(2x - 5) = 0
Factor out 2x - 5
(-x - 4) (2x - 5) = 0
Split
-x - 4 = 0 and 2x - 5 = 0
Solve for x
x = -4 and x = 5/2
Hence. the x-intercepts of the function are (-4,0) and (5/2,0)
Read more about x-intercepts at:
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