You can
put this solution on YOUR website!Find the zeros of:
Try factor by grouping:
Take the first set of parentheses:
is a difference of two cubes and can be factored as follows:
where: A = x and B = 2, then:
Now the second set of parentheses:
Factor:
So, altogether we have:
Now, factor out (x - 2):
Simplifying the 2nd parentheses:
Now factor the 2nd parentheses:
Now, set this equal to zero.
and apply the zero product principle:
, then;
or
then:
, and
So, the three zeros are:
x = 2, or x = -3 (a double root)
Take a look at the graph.
(