SOLUTION: I don't understand how to do problems that include three or four problems together such as x^3+5x^2-16x-80 can you help or explain

Question 592787: I don't understand how to do problems that include three or four problems together such as x^3+5x^2-16x-80 can you help or explain

Found 2 solutions by jim_thompson5910, lwsshak3:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming you want to factor.

Start with the given expression

Group the terms in two pairs

Factor out the GCF out of the first group. Factor out the GCF out of the second group

Since we have the common term , we can combine like terms

Now factor to get by using the difference of squares formula.

So factors to

In other words, for all values of x.

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Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
I don't understand how to do problems that include three or four problems together such as x^3+5x^2-16x-80 can you help or explain.
**
Usually, but not always, problems like this with 4 terms are set up so you can factor the expression by a method called grouping:
x^3+5x^2-16x-80
Group terms to get a common factor
=x^2(x+5)-16(x+5)
factor out common term (x+5)
=(x+5)(x^2-16)
expand difference of squares
=(x+5)(x+4)(x-4)
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