Question 975474: Find the zeros of f(x)=(x-4)^3-4(3x-16)
Please give me step by step. I am stuck on the 1st part (x-4)^3. Thanks
Answer by josgarithmetic(39618)   (Show Source):
You can put this solution on YOUR website! The necessary task for this is to "simplify", meaning perform the multiplications indicated and put into general form polynomial in degree three.
 -----THIS is the first part. You know how to do this!
...
Again, you DO know how to do this. Distributive Property AGAIN. As an alternative, you can use a lattice approach and combine like-terms as usual.
Working through all of the definition for f(x), find  .
Can you take this the rest of the way in finding the zeros?
Factorize and then use general solution method for QUADRATIC Equation.
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About  and performing its multiplication,
you could also use Binomial Theorem, but that is already more advanced than what you need to know right now. Do the binary operation of multiplication, two binomials at a time.
Example,  .
Work from left to right. First do  .
Next multiply this result by c.
You do exactly the same thing for handling . With this one, you have more terms to take care of.
You want this "first part" worked through by itself? I am trying to avoid doing so. If knowing how is too much for you now, then the original question is currently beyond your level. You are asking an intermediate algebra or college algebra level question.
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