# How do you find all the zeros of f(x)=4x(x-4)(x+12)(x-1/2)?

Apr 18, 2016

$x = 0 , \mathmr{and} 4 , \mathmr{and} - 12 , \mathmr{and} \frac{1}{2}$

#### Explanation:

Since $f \left(x\right)$ has been factorized in the question any of it's factors set to zero will result in $f \left(x\right) = 0$

Hence the zeros of $f \left(x\right)$ are:

Either $4 x = 0 \to x = 0$
Or $x - 4 = 0 \to x = 4$
Or $x + 12 = 0 \to x = - 12$
Or $x - \frac{1}{2} = 0 \to x = \frac{1}{2}$