Mathematics: What are the real zeros of f(x) = x3 – 3x2 – 4x? A. 0, 1, 4 B. 1, -1, 4 C. -1, 0, 4 D. 1, 0, -4

What are the real zeros of f(x) = x3 – 3x2 – 4x?

henryzx900

20.01.2022

Step-by-step explanation:

f(x) = x^3 - 3x^2 - 4x

factor it: (start by factoring out the x that is common to all 3 )

$= x\left(x^2-3x-4\right)$

next keep factoring the inside...

$= x\left(x^2+x-4x-4\right)\\=x \left[x\left(x+1\right)-4\left(x+1\right)\right]\\=\bold{x\left(x+1\right)\left(x-4\right)}$

So, the only way the function f(x) can be is if:

either

, or $\left(x+1\right)=0$ , or $\left(x-4\right)=0$

C. $\{-1,0,4\}$

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1041273

01.09.2020

idk

Step-by-step explanation:

can u translate it to english

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