If f(x)=x^3-8x^2-23x+30 and x+3 is a factor if f(x), then find all of the zeros of f(x) algebraically!

Given:

Note that if is a factor of , then where is also a factor of . This is the same logic as is a factor of so and would be which we got it by dividing by . In this case, we can divide by to get the other factor of (The solution for that is found on the attached image).

We also have to note that multiplying any number with gives . If the value of makes equal , will be no matter what the value of will be. We can see that makes . is one of our zeros.

Now we have to solve at what value of make .

Solving for :

Solving from the Positive Root:

Solving from the Negative Root:

sorry can't

step-by-step explanation:

i googled though and something came up but it was in science langueage not common english sooo