Question

Which real numbers are zeros of the function? f(x)=2x3−x2−8x+4 Select each correct answer. −2 −1 −12 0 12 1 2

Answer 1

-2, 1/2, 2. I took the quiz :)

Explanation:

Answer 2

Explanation:

Given is a function in x as

`f(x)=2x^3-x^2-8x+4`

We have to find the zeroes of the function

Since this is a cubic function this function has three zeroes.

Let us try to factorise this function by grouping two terms together.

`x^2(2x-1)-4(2x-1)\\= (2x-1)(x^2-4)`

=
`(2x-1)(x-2)(x+2)`

Equate each factor to 0 to find zeroes as

`-2,2,(1)/(2)`