SOLUTION: factor completely x^6 - 14x^4 + 49x^2 i have no clue where to even begin please help

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Question 580002: factor completely
x^6 - 14x^4 + 49x^2
i have no clue where to even begin please help

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
I can factor out an

Now I can make the substitution

To factor this completely, I
complete the square on the 2nd factor:




This is called a double root, so the factorization is:

Now substitute

This can be factored 1 more step:

Hope I got it
Here's a plot of the equation:




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