Answer:
x = -1/2, 1
Step-by-step explanation:
Factor out the numerator and find for what value of x gives you 0.
This is because 0 divided by any number will give you zero, that's why it's called the zeros of f(x).
Your numerator is 2x² - x - 1. Factor this out.
2x² - x - 1
= 2x² - 2x + x - 1
= 2x(x - 1) + (x - 1)
= (2x + 1)(x - 1)
What value of x will give you 0? Set the values in the parentheses=0 and solve.
2x + 1 = 0
2x = -1
x = -1/2
x - 1 = 0
x = 1
So you have zeros at x = -1/2, 1
