How do I factor x^4-5x^2+6?

Step-by-step explanation:

So we have the expression:

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

Grouping:

Now, substitute back the x² for u:

And this is the simplest form.

And we're done!

answer: 177/8

step-by-step explanation: