To find the zeros of the function
we need to factorize the expression.
a nice way to factorize
, if possible, is by completing the square as follows:
now we use the difference of squares formula
:
finally, we combine the results:
the zeros of f, are the values of x which make f(x)=0,
they are x=0, x=-2 and x=8
Answer: {-2, 0, 8}