Question

Question 1(Multiple Choice Worth 1 points)

(08.01 MC)

What are the zeroes of f(x) = x2 − x − 2?

x = −2, 1
x = 2, −1
x = −2, −1
x = 2, 1

Answer 1

The zeroes of the quadratic function f(x) = x² - x - 2 are x = -2 and x = 1.

Step-by-step explanation:

The zeroes of the quadratic equation, f(x) = x² - x - 2, can be found by setting the equation equal to zero and solving for x. We can rearrange the equation to:

x² - x - 2 = 0

Then, we can use the quadratic formula, which states that for an equation of the form ax² + bx + c = 0, the solutions are given by:

x = (-b±√(b² - 4ac)) / (2a)

In this case, a = 1, b = -1, and c = -2. Substituting these values into the quadratic formula, we get:

x = (-(-1)±√(((-1)² - 4(1)(-2)))) / (2(1))

Simplifying this expression gives x = (-1±√(1 + 8)) / 2. This can be further simplified to:

x = (-1±√9) / 2

Which gives us x = (-1±3) / 2. Therefore, the zeroes of the function f(x) are x = -2 and x = 1.