Question

Which real numbers are zeros of the function f(x)=2x³−x²−8x+4?

a. −2
b. −1
c. 1​/2
d. 1

Answer 1

The zeros of the function f(x) = 2x³ - x² - 8x + 4 are -2, -1, and 1/2.

Step-by-step explanation:

Quadratic Equation

The zeros of the function are the values of x for which the function equals zero. To find the zeros of the function f(x) = 2x³ - x² - 8x + 4, we set f(x) equal to zero and solve for x.

2x³ - x² - 8x + 4 = 0

Using synthetic division or factoring, we find that the zeros of the function are x = -2, x = -1, and x = 1/2.