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

Answer:

Step-by-step 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

$-2,2,\frac{1}{2}$