Question

Need help with number 8 solving it

Answer 1

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