SOLUTION: Factor by grouping, if possible. thank you x^3 + 3x^2 + 8x + 24

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Question 241342: Factor by grouping, if possible. thank you
x^3 + 3x^2 + 8x + 24
Found 2 solutions by Earlsdon, unlockmath:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor by grouping:
x%5E3%2B3x%5E2%2B8x%2B24 Group as shown:
highlight_green%28x%5E3%2B3x%5E2%29%2Bhighlight_green%288x%2B24%29
From the first group factor x%5E2 and from the second group factor 8.
x%5E2%28x%2B3%29%2B8%28x%2B3%29 Now factor the common factor %28x%2B3%29
highlight%28%28x%2B3%29%28x%5E2%2B8%29%29

Answer by unlockmath(1688) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Yes, it's possible. Let's take the first two terms
x^3 + 3x^2 which we can rewrite as:
x^2(x+3)
Now look at the next two terms:
8x + 24 Which we can rewrite as:
8(x+3) Here's the trick. Notice in the parenthesis we have x+3 so this can be rewritten as:
(x^2+8)(x+3)
To check this out multiply these two out and should come out the the original. x^3 + 3x^2 + 8x + 24
RJ Toftness
www.Math-unlock.com