SOLUTION: I need your help factoring this problem...PLEASE! {{{(X^2 + 3X + 1)^2 -4(X^2 + 3X + 1)-5}}}

Question 177840: I need your help factoring this problem...PLEASE!

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The first thing to do is to simplify this horror by letting

.

Now you can substitute giving you:

Since

and

, this quadratic polynomial in t factors quite tidily:

Now replace t with the original expression:

Collect terms:

Now since

and

the first factor factors to

And since

and

the second factor factors to

Putting it all together:

And, as you might suspect, the graph shows four zeros that match the factors:

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