SOLUTION: What is the completely factored form of {{{ f(x) = x^3 + 5x^2 + 4x - 6? }}} The equation is in the link here: https://prnt.sc/ldtqsv Is my answer correct? I'm not sure. I tri

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Question 1127897: What is the completely factored form of
The equation is in the link here: https://prnt.sc/ldtqsv
Is my answer correct? I'm not sure. I tried many times to provide the answers through the formula system, so I decided to attach an image of the equation and answers provided.

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

You have the correct answer. It is choice A. Nice work.

To prove that (x+3) is a factor, plug x = -3 into f(x) and you should get 0 as a result. This is using the remainder theorem.

If you were to divide f(x) over (x+3), you should get x^2+2x-2 as the quotient. Solve x^2+2x-2=0 through the quadratic formula and you should get the following:
or
or
or
or
or
or
or
which help set up the other factor of the answer

Note: if x = k is a root, then x-k is a factor
So if is a root, then is a factor

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