Answer :
Answer:
(5/2,0) and(-4,0)
Step-by-step explanation:
I hope this helps.
The x-intercepts of the function is at (-4, 0) and (5/2, 0)
How to find the x-intercept of a function
The x-intercept is a point where the y-axis is zero that is f(x) = 0
Given the function f(x) = –2x^2 – 3x + 20
The x-intercept is the point where:
–2x^2 – 3x + 20 = 0
2x^2+3x - 20 = 0
Factorize
2x^2 + 8x - 5x - 20 = 0
2x(x+4)-5(x+4)= 0
x+ 4 = 0 and 2x - 5 = 0
x = -4 and 5/2
Hence the x-intercepts of the function is at (-4, 0) and (5/2, 0)
Learn more on intercept here: https://brainly.com/question/26233