SOLUTION: 14x^3 + 21x^2 + 16x + 24 please help me

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Question 613046: 14x^3 + 21x^2 + 16x + 24
please help me

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming you want to factor this.



14x%5E3%2B21x%5E2%2B16x%2B24 Start with the given expression


%2814x%5E3%2B21x%5E2%29%2B%2816x%2B24%29 Group the terms in two pairs


7x%5E2%282x%2B3%29%2B8%282x%2B3%29 Factor out the GCF 7x%5E2 out of the first group. Factor out the GCF 8 out of the second group


%287x%5E2%2B8%29%282x%2B3%29 Since we have the common term 2x%2B3, we can combine like terms


So 14x%5E3%2B21x%5E2%2B16x%2B24 factors to %287x%5E2%2B8%29%282x%2B3%29


In other words, 14x%5E3%2B21x%5E2%2B16x%2B24=%287x%5E2%2B8%29%282x%2B3%29